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Finding the Third Proportional to 315,292 and 691,902

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Solution

The third proportional to 315,292 and 691,902 is: 1,518,365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,292 : 691,902 = 691,902 : x
  2. Step 2: Convert to fraction form
    315,292/691,902 = 691,902/x
  3. Step 3: Cross multiply
    315,292x = 691,902 × 691,902
  4. Step 4: Simplify right side
    315,292x = 478,728,377,604
  5. Step 5: Solve for x
    x = 478,728,377,604/315,292
  6. Step 6: Final answer
    x = 1,518,365.13

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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.