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Finding the Third Proportional to 275,304 and 370,511

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Solution

The third proportional to 275,304 and 370,511 is: 498,642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,304 : 370,511 = 370,511 : x
  2. Step 2: Convert to fraction form
    275,304/370,511 = 370,511/x
  3. Step 3: Cross multiply
    275,304x = 370,511 × 370,511
  4. Step 4: Simplify right side
    275,304x = 137,278,401,121
  5. Step 5: Solve for x
    x = 137,278,401,121/275,304
  6. Step 6: Final answer
    x = 498,642.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.