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Finding the Third Proportional to 59,977 and 129,035

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Solution

The third proportional to 59,977 and 129,035 is: 277,606.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,977 : 129,035 = 129,035 : x
  2. Step 2: Convert to fraction form
    59,977/129,035 = 129,035/x
  3. Step 3: Cross multiply
    59,977x = 129,035 × 129,035
  4. Step 4: Simplify right side
    59,977x = 16,650,031,225
  5. Step 5: Solve for x
    x = 16,650,031,225/59,977
  6. Step 6: Final answer
    x = 277,606.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.