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Finding the Third Proportional to 62,406 and 93,672

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Solution

The third proportional to 62,406 and 93,672 is: 140,602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,406 : 93,672 = 93,672 : x
  2. Step 2: Convert to fraction form
    62,406/93,672 = 93,672/x
  3. Step 3: Cross multiply
    62,406x = 93,672 × 93,672
  4. Step 4: Simplify right side
    62,406x = 8,774,443,584
  5. Step 5: Solve for x
    x = 8,774,443,584/62,406
  6. Step 6: Final answer
    x = 140,602.56

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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.