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Finding the Third Proportional to 138,720 and 299,292

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Solution

The third proportional to 138,720 and 299,292 is: 645,730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,720 : 299,292 = 299,292 : x
  2. Step 2: Convert to fraction form
    138,720/299,292 = 299,292/x
  3. Step 3: Cross multiply
    138,720x = 299,292 × 299,292
  4. Step 4: Simplify right side
    138,720x = 89,575,701,264
  5. Step 5: Solve for x
    x = 89,575,701,264/138,720
  6. Step 6: Final answer
    x = 645,730.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.