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Finding the Third Proportional to 61,088 and 129,898

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Solution

The third proportional to 61,088 and 129,898 is: 276,216.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,088 : 129,898 = 129,898 : x
  2. Step 2: Convert to fraction form
    61,088/129,898 = 129,898/x
  3. Step 3: Cross multiply
    61,088x = 129,898 × 129,898
  4. Step 4: Simplify right side
    61,088x = 16,873,490,404
  5. Step 5: Solve for x
    x = 16,873,490,404/61,088
  6. Step 6: Final answer
    x = 276,216.12

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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.