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Finding the Third Proportional to 458,555 and 611,571

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Solution

The third proportional to 458,555 and 611,571 is: 815,647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,555 : 611,571 = 611,571 : x
  2. Step 2: Convert to fraction form
    458,555/611,571 = 611,571/x
  3. Step 3: Cross multiply
    458,555x = 611,571 × 611,571
  4. Step 4: Simplify right side
    458,555x = 374,019,088,041
  5. Step 5: Solve for x
    x = 374,019,088,041/458,555
  6. Step 6: Final answer
    x = 815,647.17

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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.