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Finding the Third Proportional to 64,207 and 136,730

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Solution

The third proportional to 64,207 and 136,730 is: 291,169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,207 : 136,730 = 136,730 : x
  2. Step 2: Convert to fraction form
    64,207/136,730 = 136,730/x
  3. Step 3: Cross multiply
    64,207x = 136,730 × 136,730
  4. Step 4: Simplify right side
    64,207x = 18,695,092,900
  5. Step 5: Solve for x
    x = 18,695,092,900/64,207
  6. Step 6: Final answer
    x = 291,169.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.