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Finding the Third Proportional to 253,270 and 540,438

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Solution

The third proportional to 253,270 and 540,438 is: 1,153,208.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,270 : 540,438 = 540,438 : x
  2. Step 2: Convert to fraction form
    253,270/540,438 = 540,438/x
  3. Step 3: Cross multiply
    253,270x = 540,438 × 540,438
  4. Step 4: Simplify right side
    253,270x = 292,073,231,844
  5. Step 5: Solve for x
    x = 292,073,231,844/253,270
  6. Step 6: Final answer
    x = 1,153,208.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.