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Finding the Third Proportional to 83,430 and 169,758

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Solution

The third proportional to 83,430 and 169,758 is: 345,412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,430 : 169,758 = 169,758 : x
  2. Step 2: Convert to fraction form
    83,430/169,758 = 169,758/x
  3. Step 3: Cross multiply
    83,430x = 169,758 × 169,758
  4. Step 4: Simplify right side
    83,430x = 28,817,778,564
  5. Step 5: Solve for x
    x = 28,817,778,564/83,430
  6. Step 6: Final answer
    x = 345,412.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.