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Finding the Third Proportional to 491,277 and 781,203

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Solution

The third proportional to 491,277 and 781,203 is: 1,242,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,277 : 781,203 = 781,203 : x
  2. Step 2: Convert to fraction form
    491,277/781,203 = 781,203/x
  3. Step 3: Cross multiply
    491,277x = 781,203 × 781,203
  4. Step 4: Simplify right side
    491,277x = 610,278,127,209
  5. Step 5: Solve for x
    x = 610,278,127,209/491,277
  6. Step 6: Final answer
    x = 1,242,228.17

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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.