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Finding the Third Proportional to 491,406.75 and 763,354.13

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Solution

The third proportional to 491,406.75 and 763,354.13 is: 1,185,798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,406.75 : 763,354.13 = 763,354.13 : x
  2. Step 2: Convert to fraction form
    491,406.75/763,354.13 = 763,354.13/x
  3. Step 3: Cross multiply
    491,406.75x = 763,354.13 × 763,354.13
  4. Step 4: Simplify right side
    491,406.75x = 582,709,520,154.52
  5. Step 5: Solve for x
    x = 582,709,520,154.52/491,406.75
  6. Step 6: Final answer
    x = 1,185,798.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.