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Finding the Third Proportional to 345,406.50 and 532,872

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Solution

The third proportional to 345,406.50 and 532,872 is: 822,082.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,406.50 : 532,872 = 532,872 : x
  2. Step 2: Convert to fraction form
    345,406.50/532,872 = 532,872/x
  3. Step 3: Cross multiply
    345,406.50x = 532,872 × 532,872
  4. Step 4: Simplify right side
    345,406.50x = 283,952,568,384
  5. Step 5: Solve for x
    x = 283,952,568,384/345,406.50
  6. Step 6: Final answer
    x = 822,082.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.