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Finding the Third Proportional to 558,716 and 864,948

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Solution

The third proportional to 558,716 and 864,948 is: 1,339,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,716 : 864,948 = 864,948 : x
  2. Step 2: Convert to fraction form
    558,716/864,948 = 864,948/x
  3. Step 3: Cross multiply
    558,716x = 864,948 × 864,948
  4. Step 4: Simplify right side
    558,716x = 748,135,042,704
  5. Step 5: Solve for x
    x = 748,135,042,704/558,716
  6. Step 6: Final answer
    x = 1,339,025.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.