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Finding the Third Proportional to 129,386 and 281,552

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Solution

The third proportional to 129,386 and 281,552 is: 612,674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,386 : 281,552 = 281,552 : x
  2. Step 2: Convert to fraction form
    129,386/281,552 = 281,552/x
  3. Step 3: Cross multiply
    129,386x = 281,552 × 281,552
  4. Step 4: Simplify right side
    129,386x = 79,271,528,704
  5. Step 5: Solve for x
    x = 79,271,528,704/129,386
  6. Step 6: Final answer
    x = 612,674.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.