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Finding the Third Proportional to 275,220 and 455,498

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Solution

The third proportional to 275,220 and 455,498 is: 753,863.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,220 : 455,498 = 455,498 : x
  2. Step 2: Convert to fraction form
    275,220/455,498 = 455,498/x
  3. Step 3: Cross multiply
    275,220x = 455,498 × 455,498
  4. Step 4: Simplify right side
    275,220x = 207,478,428,004
  5. Step 5: Solve for x
    x = 207,478,428,004/275,220
  6. Step 6: Final answer
    x = 753,863.92

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.