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Finding the Third Proportional to 92,432 and 137,289

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Solution

The third proportional to 92,432 and 137,289 is: 203,914.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,432 : 137,289 = 137,289 : x
  2. Step 2: Convert to fraction form
    92,432/137,289 = 137,289/x
  3. Step 3: Cross multiply
    92,432x = 137,289 × 137,289
  4. Step 4: Simplify right side
    92,432x = 18,848,269,521
  5. Step 5: Solve for x
    x = 18,848,269,521/92,432
  6. Step 6: Final answer
    x = 203,914.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.