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Finding the Third Proportional to 558,708 and 864,936

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Solution

The third proportional to 558,708 and 864,936 is: 1,339,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,708 : 864,936 = 864,936 : x
  2. Step 2: Convert to fraction form
    558,708/864,936 = 864,936/x
  3. Step 3: Cross multiply
    558,708x = 864,936 × 864,936
  4. Step 4: Simplify right side
    558,708x = 748,114,284,096
  5. Step 5: Solve for x
    x = 748,114,284,096/558,708
  6. Step 6: Final answer
    x = 1,339,007.65

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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.