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Finding the Third Proportional to 343,171.05 and 521,753.27

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Solution

The third proportional to 343,171.05 and 521,753.27 is: 793,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,171.05 : 521,753.27 = 521,753.27 : x
  2. Step 2: Convert to fraction form
    343,171.05/521,753.27 = 521,753.27/x
  3. Step 3: Cross multiply
    343,171.05x = 521,753.27 × 521,753.27
  4. Step 4: Simplify right side
    343,171.05x = 272,226,478,342.75
  5. Step 5: Solve for x
    x = 272,226,478,342.75/343,171.05
  6. Step 6: Final answer
    x = 793,267.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.