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Finding the Third Proportional to 315,314 and 691,946

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Solution

The third proportional to 315,314 and 691,946 is: 1,518,452.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,314 : 691,946 = 691,946 : x
  2. Step 2: Convert to fraction form
    315,314/691,946 = 691,946/x
  3. Step 3: Cross multiply
    315,314x = 691,946 × 691,946
  4. Step 4: Simplify right side
    315,314x = 478,789,266,916
  5. Step 5: Solve for x
    x = 478,789,266,916/315,314
  6. Step 6: Final answer
    x = 1,518,452.29

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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.