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Finding the Third Proportional to 782,214 and 1,115,757

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Solution

The third proportional to 782,214 and 1,115,757 is: 1,591,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,214 : 1,115,757 = 1,115,757 : x
  2. Step 2: Convert to fraction form
    782,214/1,115,757 = 1,115,757/x
  3. Step 3: Cross multiply
    782,214x = 1,115,757 × 1,115,757
  4. Step 4: Simplify right side
    782,214x = 1,244,913,683,049
  5. Step 5: Solve for x
    x = 1,244,913,683,049/782,214
  6. Step 6: Final answer
    x = 1,591,525.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.