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Finding the Third Proportional to 611,408 and 815,428

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Solution

The third proportional to 611,408 and 815,428 is: 1,087,527.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,408 : 815,428 = 815,428 : x
  2. Step 2: Convert to fraction form
    611,408/815,428 = 815,428/x
  3. Step 3: Cross multiply
    611,408x = 815,428 × 815,428
  4. Step 4: Simplify right side
    611,408x = 664,922,823,184
  5. Step 5: Solve for x
    x = 664,922,823,184/611,408
  6. Step 6: Final answer
    x = 1,087,527.19

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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.