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Finding the Third Proportional to 61,025 and 88,737.50

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Solution

The third proportional to 61,025 and 88,737.50 is: 129,034.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,025 : 88,737.50 = 88,737.50 : x
  2. Step 2: Convert to fraction form
    61,025/88,737.50 = 88,737.50/x
  3. Step 3: Cross multiply
    61,025x = 88,737.50 × 88,737.50
  4. Step 4: Simplify right side
    61,025x = 7,874,343,906.25
  5. Step 5: Solve for x
    x = 7,874,343,906.25/61,025
  6. Step 6: Final answer
    x = 129,034.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.