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Finding the Third Proportional to 611,416 and 815,442

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Solution

The third proportional to 611,416 and 815,442 is: 1,087,550.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,416 : 815,442 = 815,442 : x
  2. Step 2: Convert to fraction form
    611,416/815,442 = 815,442/x
  3. Step 3: Cross multiply
    611,416x = 815,442 × 815,442
  4. Step 4: Simplify right side
    611,416x = 664,945,655,364
  5. Step 5: Solve for x
    x = 664,945,655,364/611,416
  6. Step 6: Final answer
    x = 1,087,550.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.