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Finding the Third Proportional to 253,785 and 540,498

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Solution

The third proportional to 253,785 and 540,498 is: 1,151,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,785 : 540,498 = 540,498 : x
  2. Step 2: Convert to fraction form
    253,785/540,498 = 540,498/x
  3. Step 3: Cross multiply
    253,785x = 540,498 × 540,498
  4. Step 4: Simplify right side
    253,785x = 292,138,088,004
  5. Step 5: Solve for x
    x = 292,138,088,004/253,785
  6. Step 6: Final answer
    x = 1,151,124.33

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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.