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Finding the Third Proportional to 252,776 and 556,393

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Solution

The third proportional to 252,776 and 556,393 is: 1,224,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,776 : 556,393 = 556,393 : x
  2. Step 2: Convert to fraction form
    252,776/556,393 = 556,393/x
  3. Step 3: Cross multiply
    252,776x = 556,393 × 556,393
  4. Step 4: Simplify right side
    252,776x = 309,573,170,449
  5. Step 5: Solve for x
    x = 309,573,170,449/252,776
  6. Step 6: Final answer
    x = 1,224,693.68

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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.