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Finding the Third Proportional to 315,662 and 473,859

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Solution

The third proportional to 315,662 and 473,859 is: 711,337.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,662 : 473,859 = 473,859 : x
  2. Step 2: Convert to fraction form
    315,662/473,859 = 473,859/x
  3. Step 3: Cross multiply
    315,662x = 473,859 × 473,859
  4. Step 4: Simplify right side
    315,662x = 224,542,351,881
  5. Step 5: Solve for x
    x = 224,542,351,881/315,662
  6. Step 6: Final answer
    x = 711,337.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.