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Finding the Third Proportional to 68,012,658.70 and 145,728,216.28

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Solution

The third proportional to 68,012,658.70 and 145,728,216.28 is: 312,246,476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,012,658.70 : 145,728,216.28 = 145,728,216.28 : x
  2. Step 2: Convert to fraction form
    68,012,658.70/145,728,216.28 = 145,728,216.28/x
  3. Step 3: Cross multiply
    68,012,658.70x = 145,728,216.28 × 145,728,216.28
  4. Step 4: Simplify right side
    68,012,658.70x = 21,236,713,020,514,776
  5. Step 5: Solve for x
    x = 21,236,713,020,514,776/68,012,658.70
  6. Step 6: Final answer
    x = 312,246,476.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.