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Finding the Third Proportional to 398,952 and 853,200

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Solution

The third proportional to 398,952 and 853,200 is: 1,824,656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,952 : 853,200 = 853,200 : x
  2. Step 2: Convert to fraction form
    398,952/853,200 = 853,200/x
  3. Step 3: Cross multiply
    398,952x = 853,200 × 853,200
  4. Step 4: Simplify right side
    398,952x = 727,950,240,000
  5. Step 5: Solve for x
    x = 727,950,240,000/398,952
  6. Step 6: Final answer
    x = 1,824,656.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.