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Finding the Third Proportional to 34,432 and 74,128

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Solution

The third proportional to 34,432 and 74,128 is: 159,588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,432 : 74,128 = 74,128 : x
  2. Step 2: Convert to fraction form
    34,432/74,128 = 74,128/x
  3. Step 3: Cross multiply
    34,432x = 74,128 × 74,128
  4. Step 4: Simplify right side
    34,432x = 5,494,960,384
  5. Step 5: Solve for x
    x = 5,494,960,384/34,432
  6. Step 6: Final answer
    x = 159,588.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.