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Finding the Third Proportional to 252,649 and 540,308

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Solution

The third proportional to 252,649 and 540,308 is: 1,155,487.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,649 : 540,308 = 540,308 : x
  2. Step 2: Convert to fraction form
    252,649/540,308 = 540,308/x
  3. Step 3: Cross multiply
    252,649x = 540,308 × 540,308
  4. Step 4: Simplify right side
    252,649x = 291,932,734,864
  5. Step 5: Solve for x
    x = 291,932,734,864/252,649
  6. Step 6: Final answer
    x = 1,155,487.40

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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.