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Finding the Third Proportional to 79,374 and 169,820

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Solution

The third proportional to 79,374 and 169,820 is: 363,328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,374 : 169,820 = 169,820 : x
  2. Step 2: Convert to fraction form
    79,374/169,820 = 169,820/x
  3. Step 3: Cross multiply
    79,374x = 169,820 × 169,820
  4. Step 4: Simplify right side
    79,374x = 28,838,832,400
  5. Step 5: Solve for x
    x = 28,838,832,400/79,374
  6. Step 6: Final answer
    x = 363,328.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.