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Finding the Third Proportional to 61,952 and 93,068

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Solution

The third proportional to 61,952 and 93,068 is: 139,812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,952 : 93,068 = 93,068 : x
  2. Step 2: Convert to fraction form
    61,952/93,068 = 93,068/x
  3. Step 3: Cross multiply
    61,952x = 93,068 × 93,068
  4. Step 4: Simplify right side
    61,952x = 8,661,652,624
  5. Step 5: Solve for x
    x = 8,661,652,624/61,952
  6. Step 6: Final answer
    x = 139,812.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.