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Finding the Third Proportional to 45,631 and 93,448

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Solution

The third proportional to 45,631 and 93,448 is: 191,372.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,631 : 93,448 = 93,448 : x
  2. Step 2: Convert to fraction form
    45,631/93,448 = 93,448/x
  3. Step 3: Cross multiply
    45,631x = 93,448 × 93,448
  4. Step 4: Simplify right side
    45,631x = 8,732,528,704
  5. Step 5: Solve for x
    x = 8,732,528,704/45,631
  6. Step 6: Final answer
    x = 191,372.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.