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Finding the Third Proportional to 68,971.50 and 148,508.44

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Solution

The third proportional to 68,971.50 and 148,508.44 is: 319,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,971.50 : 148,508.44 = 148,508.44 : x
  2. Step 2: Convert to fraction form
    68,971.50/148,508.44 = 148,508.44/x
  3. Step 3: Cross multiply
    68,971.50x = 148,508.44 × 148,508.44
  4. Step 4: Simplify right side
    68,971.50x = 22,054,756,008.69
  5. Step 5: Solve for x
    x = 22,054,756,008.69/68,971.50
  6. Step 6: Final answer
    x = 319,766.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.