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Finding the Third Proportional to 77,432 and 115,840

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Solution

The third proportional to 77,432 and 115,840 is: 173,299.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,432 : 115,840 = 115,840 : x
  2. Step 2: Convert to fraction form
    77,432/115,840 = 115,840/x
  3. Step 3: Cross multiply
    77,432x = 115,840 × 115,840
  4. Step 4: Simplify right side
    77,432x = 13,418,905,600
  5. Step 5: Solve for x
    x = 13,418,905,600/77,432
  6. Step 6: Final answer
    x = 173,299.23

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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.