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Finding the Third Proportional to 77,432 and 109,045

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Solution

The third proportional to 77,432 and 109,045 is: 153,564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,432 : 109,045 = 109,045 : x
  2. Step 2: Convert to fraction form
    77,432/109,045 = 109,045/x
  3. Step 3: Cross multiply
    77,432x = 109,045 × 109,045
  4. Step 4: Simplify right side
    77,432x = 11,890,812,025
  5. Step 5: Solve for x
    x = 11,890,812,025/77,432
  6. Step 6: Final answer
    x = 153,564.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.