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Finding the Third Proportional to 275,540 and 417,461

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Solution

The third proportional to 275,540 and 417,461 is: 632,480.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,540 : 417,461 = 417,461 : x
  2. Step 2: Convert to fraction form
    275,540/417,461 = 417,461/x
  3. Step 3: Cross multiply
    275,540x = 417,461 × 417,461
  4. Step 4: Simplify right side
    275,540x = 174,273,686,521
  5. Step 5: Solve for x
    x = 174,273,686,521/275,540
  6. Step 6: Final answer
    x = 632,480.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.