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Finding the Third Proportional to 315,103 and 691,433

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Solution

The third proportional to 315,103 and 691,433 is: 1,517,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,103 : 691,433 = 691,433 : x
  2. Step 2: Convert to fraction form
    315,103/691,433 = 691,433/x
  3. Step 3: Cross multiply
    315,103x = 691,433 × 691,433
  4. Step 4: Simplify right side
    315,103x = 478,079,593,489
  5. Step 5: Solve for x
    x = 478,079,593,489/315,103
  6. Step 6: Final answer
    x = 1,517,216.89

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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.