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Finding the Third Proportional to 275,139 and 415,482

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Solution

The third proportional to 275,139 and 415,482 is: 627,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,139 : 415,482 = 415,482 : x
  2. Step 2: Convert to fraction form
    275,139/415,482 = 415,482/x
  3. Step 3: Cross multiply
    275,139x = 415,482 × 415,482
  4. Step 4: Simplify right side
    275,139x = 172,625,292,324
  5. Step 5: Solve for x
    x = 172,625,292,324/275,139
  6. Step 6: Final answer
    x = 627,411.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.