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Finding the Third Proportional to 84,672 and 129,704

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Solution

The third proportional to 84,672 and 129,704 is: 198,685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,672 : 129,704 = 129,704 : x
  2. Step 2: Convert to fraction form
    84,672/129,704 = 129,704/x
  3. Step 3: Cross multiply
    84,672x = 129,704 × 129,704
  4. Step 4: Simplify right side
    84,672x = 16,823,127,616
  5. Step 5: Solve for x
    x = 16,823,127,616/84,672
  6. Step 6: Final answer
    x = 198,685.84

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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.