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Finding the Third Proportional to 129,535 and 281,209

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Solution

The third proportional to 129,535 and 281,209 is: 610,479.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,535 : 281,209 = 281,209 : x
  2. Step 2: Convert to fraction form
    129,535/281,209 = 281,209/x
  3. Step 3: Cross multiply
    129,535x = 281,209 × 281,209
  4. Step 4: Simplify right side
    129,535x = 79,078,501,681
  5. Step 5: Solve for x
    x = 79,078,501,681/129,535
  6. Step 6: Final answer
    x = 610,479.81

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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.