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Finding the Third Proportional to 68,458,438,125 and 94,596,622,753.50

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Solution

The third proportional to 68,458,438,125 and 94,596,622,753.50 is: 130,714,653,758.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,458,438,125 : 94,596,622,753.50 = 94,596,622,753.50 : x
  2. Step 2: Convert to fraction form
    68,458,438,125/94,596,622,753.50 = 94,596,622,753.50/x
  3. Step 3: Cross multiply
    68,458,438,125x = 94,596,622,753.50 × 94,596,622,753.50
  4. Step 4: Simplify right side
    68,458,438,125x = 8,948,521,036,367,993,503,744
  5. Step 5: Solve for x
    x = 8,948,521,036,367,993,503,744/68,458,438,125
  6. Step 6: Final answer
    x = 130,714,653,758.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.