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Finding the Third Proportional to 315,132 and 691,494

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Solution

The third proportional to 315,132 and 691,494 is: 1,517,344.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,132 : 691,494 = 691,494 : x
  2. Step 2: Convert to fraction form
    315,132/691,494 = 691,494/x
  3. Step 3: Cross multiply
    315,132x = 691,494 × 691,494
  4. Step 4: Simplify right side
    315,132x = 478,163,952,036
  5. Step 5: Solve for x
    x = 478,163,952,036/315,132
  6. Step 6: Final answer
    x = 1,517,344.96

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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.