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Finding the Third Proportional to 253,860 and 540,320

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Solution

The third proportional to 253,860 and 540,320 is: 1,150,026.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,860 : 540,320 = 540,320 : x
  2. Step 2: Convert to fraction form
    253,860/540,320 = 540,320/x
  3. Step 3: Cross multiply
    253,860x = 540,320 × 540,320
  4. Step 4: Simplify right side
    253,860x = 291,945,702,400
  5. Step 5: Solve for x
    x = 291,945,702,400/253,860
  6. Step 6: Final answer
    x = 1,150,026.40

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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.