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Finding the Third Proportional to 491,234 and 781,139

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Solution

The third proportional to 491,234 and 781,139 is: 1,242,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,234 : 781,139 = 781,139 : x
  2. Step 2: Convert to fraction form
    491,234/781,139 = 781,139/x
  3. Step 3: Cross multiply
    491,234x = 781,139 × 781,139
  4. Step 4: Simplify right side
    491,234x = 610,178,137,321
  5. Step 5: Solve for x
    x = 610,178,137,321/491,234
  6. Step 6: Final answer
    x = 1,242,133.36

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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.