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Finding the Third Proportional to 252,778 and 556,398

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Solution

The third proportional to 252,778 and 556,398 is: 1,224,706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,778 : 556,398 = 556,398 : x
  2. Step 2: Convert to fraction form
    252,778/556,398 = 556,398/x
  3. Step 3: Cross multiply
    252,778x = 556,398 × 556,398
  4. Step 4: Simplify right side
    252,778x = 309,578,734,404
  5. Step 5: Solve for x
    x = 309,578,734,404/252,778
  6. Step 6: Final answer
    x = 1,224,706.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.