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Finding the Third Proportional to 61,006.50 and 129,789

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Solution

The third proportional to 61,006.50 and 129,789 is: 276,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,006.50 : 129,789 = 129,789 : x
  2. Step 2: Convert to fraction form
    61,006.50/129,789 = 129,789/x
  3. Step 3: Cross multiply
    61,006.50x = 129,789 × 129,789
  4. Step 4: Simplify right side
    61,006.50x = 16,845,184,521
  5. Step 5: Solve for x
    x = 16,845,184,521/61,006.50
  6. Step 6: Final answer
    x = 276,121.14

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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.