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Finding the Third Proportional to 315,279 and 476,187

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Solution

The third proportional to 315,279 and 476,187 is: 719,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,279 : 476,187 = 476,187 : x
  2. Step 2: Convert to fraction form
    315,279/476,187 = 476,187/x
  3. Step 3: Cross multiply
    315,279x = 476,187 × 476,187
  4. Step 4: Simplify right side
    315,279x = 226,754,058,969
  5. Step 5: Solve for x
    x = 226,754,058,969/315,279
  6. Step 6: Final answer
    x = 719,217.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.