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Finding the Third Proportional to 275,517 and 370,719

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Solution

The third proportional to 275,517 and 370,719 is: 498,817.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,517 : 370,719 = 370,719 : x
  2. Step 2: Convert to fraction form
    275,517/370,719 = 370,719/x
  3. Step 3: Cross multiply
    275,517x = 370,719 × 370,719
  4. Step 4: Simplify right side
    275,517x = 137,432,576,961
  5. Step 5: Solve for x
    x = 137,432,576,961/275,517
  6. Step 6: Final answer
    x = 498,817.05

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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.