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Finding the Third Proportional to 315,134 and 691,498

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Solution

The third proportional to 315,134 and 691,498 is: 1,517,352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,134 : 691,498 = 691,498 : x
  2. Step 2: Convert to fraction form
    315,134/691,498 = 691,498/x
  3. Step 3: Cross multiply
    315,134x = 691,498 × 691,498
  4. Step 4: Simplify right side
    315,134x = 478,169,484,004
  5. Step 5: Solve for x
    x = 478,169,484,004/315,134
  6. Step 6: Final answer
    x = 1,517,352.88

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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.