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Finding the Third Proportional to 65,788.88 and 138,454.88

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Solution

The third proportional to 65,788.88 and 138,454.88 is: 291,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,788.88 : 138,454.88 = 138,454.88 : x
  2. Step 2: Convert to fraction form
    65,788.88/138,454.88 = 138,454.88/x
  3. Step 3: Cross multiply
    65,788.88x = 138,454.88 × 138,454.88
  4. Step 4: Simplify right side
    65,788.88x = 19,169,752,411.27
  5. Step 5: Solve for x
    x = 19,169,752,411.27/65,788.88
  6. Step 6: Final answer
    x = 291,382.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.