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Finding the Third Proportional to 129,636 and 281,403

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Solution

The third proportional to 129,636 and 281,403 is: 610,846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,636 : 281,403 = 281,403 : x
  2. Step 2: Convert to fraction form
    129,636/281,403 = 281,403/x
  3. Step 3: Cross multiply
    129,636x = 281,403 × 281,403
  4. Step 4: Simplify right side
    129,636x = 79,187,648,409
  5. Step 5: Solve for x
    x = 79,187,648,409/129,636
  6. Step 6: Final answer
    x = 610,846.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.