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Finding the Third Proportional to 77,442 and 169,650

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Solution

The third proportional to 77,442 and 169,650 is: 371,647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,442 : 169,650 = 169,650 : x
  2. Step 2: Convert to fraction form
    77,442/169,650 = 169,650/x
  3. Step 3: Cross multiply
    77,442x = 169,650 × 169,650
  4. Step 4: Simplify right side
    77,442x = 28,781,122,500
  5. Step 5: Solve for x
    x = 28,781,122,500/77,442
  6. Step 6: Final answer
    x = 371,647.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.