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Finding the Third Proportional to 315,113 and 691,452

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Solution

The third proportional to 315,113 and 691,452 is: 1,517,252.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,113 : 691,452 = 691,452 : x
  2. Step 2: Convert to fraction form
    315,113/691,452 = 691,452/x
  3. Step 3: Cross multiply
    315,113x = 691,452 × 691,452
  4. Step 4: Simplify right side
    315,113x = 478,105,868,304
  5. Step 5: Solve for x
    x = 478,105,868,304/315,113
  6. Step 6: Final answer
    x = 1,517,252.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.