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Finding the Third Proportional to 611,424 and 815,454

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Solution

The third proportional to 611,424 and 815,454 is: 1,087,568.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,424 : 815,454 = 815,454 : x
  2. Step 2: Convert to fraction form
    611,424/815,454 = 815,454/x
  3. Step 3: Cross multiply
    611,424x = 815,454 × 815,454
  4. Step 4: Simplify right side
    611,424x = 664,965,226,116
  5. Step 5: Solve for x
    x = 664,965,226,116/611,424
  6. Step 6: Final answer
    x = 1,087,568.08

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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.