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Finding the Third Proportional to 558,720 and 864,954

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Solution

The third proportional to 558,720 and 864,954 is: 1,339,034.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,720 : 864,954 = 864,954 : x
  2. Step 2: Convert to fraction form
    558,720/864,954 = 864,954/x
  3. Step 3: Cross multiply
    558,720x = 864,954 × 864,954
  4. Step 4: Simplify right side
    558,720x = 748,145,422,116
  5. Step 5: Solve for x
    x = 748,145,422,116/558,720
  6. Step 6: Final answer
    x = 1,339,034.62

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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.