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Finding the Third Proportional to 315,293 and 691,904

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Solution

The third proportional to 315,293 and 691,904 is: 1,518,369.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,293 : 691,904 = 691,904 : x
  2. Step 2: Convert to fraction form
    315,293/691,904 = 691,904/x
  3. Step 3: Cross multiply
    315,293x = 691,904 × 691,904
  4. Step 4: Simplify right side
    315,293x = 478,731,145,216
  5. Step 5: Solve for x
    x = 478,731,145,216/315,293
  6. Step 6: Final answer
    x = 1,518,369.09

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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.