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Finding the Third Proportional to 138,429 and 297,918

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Solution

The third proportional to 138,429 and 297,918 is: 641,159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,429 : 297,918 = 297,918 : x
  2. Step 2: Convert to fraction form
    138,429/297,918 = 297,918/x
  3. Step 3: Cross multiply
    138,429x = 297,918 × 297,918
  4. Step 4: Simplify right side
    138,429x = 88,755,134,724
  5. Step 5: Solve for x
    x = 88,755,134,724/138,429
  6. Step 6: Final answer
    x = 641,159.98

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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.