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Finding the Third Proportional to 782,084 and 1,209,069

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Solution

The third proportional to 782,084 and 1,209,069 is: 1,869,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,084 : 1,209,069 = 1,209,069 : x
  2. Step 2: Convert to fraction form
    782,084/1,209,069 = 1,209,069/x
  3. Step 3: Cross multiply
    782,084x = 1,209,069 × 1,209,069
  4. Step 4: Simplify right side
    782,084x = 1,461,847,846,761
  5. Step 5: Solve for x
    x = 1,461,847,846,761/782,084
  6. Step 6: Final answer
    x = 1,869,169.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.