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Finding the Third Proportional to 252,638 and 540,281

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Solution

The third proportional to 252,638 and 540,281 is: 1,155,422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,638 : 540,281 = 540,281 : x
  2. Step 2: Convert to fraction form
    252,638/540,281 = 540,281/x
  3. Step 3: Cross multiply
    252,638x = 540,281 × 540,281
  4. Step 4: Simplify right side
    252,638x = 291,903,558,961
  5. Step 5: Solve for x
    x = 291,903,558,961/252,638
  6. Step 6: Final answer
    x = 1,155,422.22

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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.