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Finding the Third Proportional to 84,659 and 129,702

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Solution

The third proportional to 84,659 and 129,702 is: 198,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,659 : 129,702 = 129,702 : x
  2. Step 2: Convert to fraction form
    84,659/129,702 = 129,702/x
  3. Step 3: Cross multiply
    84,659x = 129,702 × 129,702
  4. Step 4: Simplify right side
    84,659x = 16,822,608,804
  5. Step 5: Solve for x
    x = 16,822,608,804/84,659
  6. Step 6: Final answer
    x = 198,710.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.