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Finding the Third Proportional to 129,637.50 and 281,406

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Solution

The third proportional to 129,637.50 and 281,406 is: 610,852.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,637.50 : 281,406 = 281,406 : x
  2. Step 2: Convert to fraction form
    129,637.50/281,406 = 281,406/x
  3. Step 3: Cross multiply
    129,637.50x = 281,406 × 281,406
  4. Step 4: Simplify right side
    129,637.50x = 79,189,336,836
  5. Step 5: Solve for x
    x = 79,189,336,836/129,637.50
  6. Step 6: Final answer
    x = 610,852.08

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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.