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Finding the Third Proportional to 61,011 and 129,797

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Solution

The third proportional to 61,011 and 129,797 is: 276,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,011 : 129,797 = 129,797 : x
  2. Step 2: Convert to fraction form
    61,011/129,797 = 129,797/x
  3. Step 3: Cross multiply
    61,011x = 129,797 × 129,797
  4. Step 4: Simplify right side
    61,011x = 16,847,261,209
  5. Step 5: Solve for x
    x = 16,847,261,209/61,011
  6. Step 6: Final answer
    x = 276,134.82

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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.