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Finding the Third Proportional to 499,369 and 782,522

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Solution

The third proportional to 499,369 and 782,522 is: 1,226,228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,369 : 782,522 = 782,522 : x
  2. Step 2: Convert to fraction form
    499,369/782,522 = 782,522/x
  3. Step 3: Cross multiply
    499,369x = 782,522 × 782,522
  4. Step 4: Simplify right side
    499,369x = 612,340,680,484
  5. Step 5: Solve for x
    x = 612,340,680,484/499,369
  6. Step 6: Final answer
    x = 1,226,228.86

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Why These Related Problems?

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