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Finding the Third Proportional to 315,295 and 691,908

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Solution

The third proportional to 315,295 and 691,908 is: 1,518,377.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,295 : 691,908 = 691,908 : x
  2. Step 2: Convert to fraction form
    315,295/691,908 = 691,908/x
  3. Step 3: Cross multiply
    315,295x = 691,908 × 691,908
  4. Step 4: Simplify right side
    315,295x = 478,736,680,464
  5. Step 5: Solve for x
    x = 478,736,680,464/315,295
  6. Step 6: Final answer
    x = 1,518,377.01

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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.