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Finding the Third Proportional to 138,430.27 and 297,466.17

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Solution

The third proportional to 138,430.27 and 297,466.17 is: 639,210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,430.27 : 297,466.17 = 297,466.17 : x
  2. Step 2: Convert to fraction form
    138,430.27/297,466.17 = 297,466.17/x
  3. Step 3: Cross multiply
    138,430.27x = 297,466.17 × 297,466.17
  4. Step 4: Simplify right side
    138,430.27x = 88,486,123,409.97
  5. Step 5: Solve for x
    x = 88,486,123,409.97/138,430.27
  6. Step 6: Final answer
    x = 639,210.82

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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.