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Finding the Third Proportional to 491,238 and 781,145

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Solution

The third proportional to 491,238 and 781,145 is: 1,242,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,238 : 781,145 = 781,145 : x
  2. Step 2: Convert to fraction form
    491,238/781,145 = 781,145/x
  3. Step 3: Cross multiply
    491,238x = 781,145 × 781,145
  4. Step 4: Simplify right side
    491,238x = 610,187,511,025
  5. Step 5: Solve for x
    x = 610,187,511,025/491,238
  6. Step 6: Final answer
    x = 1,242,142.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.