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Finding the Third Proportional to 458,557 and 611,574

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Solution

The third proportional to 458,557 and 611,574 is: 815,651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,557 : 611,574 = 611,574 : x
  2. Step 2: Convert to fraction form
    458,557/611,574 = 611,574/x
  3. Step 3: Cross multiply
    458,557x = 611,574 × 611,574
  4. Step 4: Simplify right side
    458,557x = 374,022,757,476
  5. Step 5: Solve for x
    x = 374,022,757,476/458,557
  6. Step 6: Final answer
    x = 815,651.61

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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.