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Finding the Third Proportional to 71,438 and 150,828

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Solution

The third proportional to 71,438 and 150,828 is: 318,445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,438 : 150,828 = 150,828 : x
  2. Step 2: Convert to fraction form
    71,438/150,828 = 150,828/x
  3. Step 3: Cross multiply
    71,438x = 150,828 × 150,828
  4. Step 4: Simplify right side
    71,438x = 22,749,085,584
  5. Step 5: Solve for x
    x = 22,749,085,584/71,438
  6. Step 6: Final answer
    x = 318,445.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.