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Finding the Third Proportional to 491,712 and 759,405

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Solution

The third proportional to 491,712 and 759,405 is: 1,172,832.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,712 : 759,405 = 759,405 : x
  2. Step 2: Convert to fraction form
    491,712/759,405 = 759,405/x
  3. Step 3: Cross multiply
    491,712x = 759,405 × 759,405
  4. Step 4: Simplify right side
    491,712x = 576,695,954,025
  5. Step 5: Solve for x
    x = 576,695,954,025/491,712
  6. Step 6: Final answer
    x = 1,172,832.78

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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.