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Finding the Third Proportional to 138,461 and 297,982

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Solution

The third proportional to 138,461 and 297,982 is: 641,287.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,461 : 297,982 = 297,982 : x
  2. Step 2: Convert to fraction form
    138,461/297,982 = 297,982/x
  3. Step 3: Cross multiply
    138,461x = 297,982 × 297,982
  4. Step 4: Simplify right side
    138,461x = 88,793,272,324
  5. Step 5: Solve for x
    x = 88,793,272,324/138,461
  6. Step 6: Final answer
    x = 641,287.24

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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.