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Finding the Third Proportional to 61,609 and 129,658

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Solution

The third proportional to 61,609 and 129,658 is: 272,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,609 : 129,658 = 129,658 : x
  2. Step 2: Convert to fraction form
    61,609/129,658 = 129,658/x
  3. Step 3: Cross multiply
    61,609x = 129,658 × 129,658
  4. Step 4: Simplify right side
    61,609x = 16,811,196,964
  5. Step 5: Solve for x
    x = 16,811,196,964/61,609
  6. Step 6: Final answer
    x = 272,869.17

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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.