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Finding the Third Proportional to 64,459.13 and 138,439.13

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Solution

The third proportional to 64,459.13 and 138,439.13 is: 297,326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,459.13 : 138,439.13 = 138,439.13 : x
  2. Step 2: Convert to fraction form
    64,459.13/138,439.13 = 138,439.13/x
  3. Step 3: Cross multiply
    64,459.13x = 138,439.13 × 138,439.13
  4. Step 4: Simplify right side
    64,459.13x = 19,165,391,330.77
  5. Step 5: Solve for x
    x = 19,165,391,330.77/64,459.13
  6. Step 6: Final answer
    x = 297,326.27

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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.