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Finding the Third Proportional to 61,272 and 89,235

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Solution

The third proportional to 61,272 and 89,235 is: 129,959.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,272 : 89,235 = 89,235 : x
  2. Step 2: Convert to fraction form
    61,272/89,235 = 89,235/x
  3. Step 3: Cross multiply
    61,272x = 89,235 × 89,235
  4. Step 4: Simplify right side
    61,272x = 7,962,885,225
  5. Step 5: Solve for x
    x = 7,962,885,225/61,272
  6. Step 6: Final answer
    x = 129,959.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.