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Finding the Third Proportional to 491,236 and 781,142

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Solution

The third proportional to 491,236 and 781,142 is: 1,242,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,236 : 781,142 = 781,142 : x
  2. Step 2: Convert to fraction form
    491,236/781,142 = 781,142/x
  3. Step 3: Cross multiply
    491,236x = 781,142 × 781,142
  4. Step 4: Simplify right side
    491,236x = 610,182,824,164
  5. Step 5: Solve for x
    x = 610,182,824,164/491,236
  6. Step 6: Final answer
    x = 1,242,137.84

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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.