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Finding the Third Proportional to 315,108 and 691,464

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Solution

The third proportional to 315,108 and 691,464 is: 1,517,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,108 : 691,464 = 691,464 : x
  2. Step 2: Convert to fraction form
    315,108/691,464 = 691,464/x
  3. Step 3: Cross multiply
    315,108x = 691,464 × 691,464
  4. Step 4: Simplify right side
    315,108x = 478,122,463,296
  5. Step 5: Solve for x
    x = 478,122,463,296/315,108
  6. Step 6: Final answer
    x = 1,517,328.86

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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.