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Finding the Third Proportional to 552,636 and 853,376

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Solution

The third proportional to 552,636 and 853,376 is: 1,317,776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,636 : 853,376 = 853,376 : x
  2. Step 2: Convert to fraction form
    552,636/853,376 = 853,376/x
  3. Step 3: Cross multiply
    552,636x = 853,376 × 853,376
  4. Step 4: Simplify right side
    552,636x = 728,250,597,376
  5. Step 5: Solve for x
    x = 728,250,597,376/552,636
  6. Step 6: Final answer
    x = 1,317,776.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.