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Finding the Third Proportional to 498,956 and 781,814

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Solution

The third proportional to 498,956 and 781,814 is: 1,225,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,956 : 781,814 = 781,814 : x
  2. Step 2: Convert to fraction form
    498,956/781,814 = 781,814/x
  3. Step 3: Cross multiply
    498,956x = 781,814 × 781,814
  4. Step 4: Simplify right side
    498,956x = 611,233,130,596
  5. Step 5: Solve for x
    x = 611,233,130,596/498,956
  6. Step 6: Final answer
    x = 1,225,024.11

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.