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Finding the Third Proportional to 315,198 and 473,121

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Solution

The third proportional to 315,198 and 473,121 is: 710,167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,198 : 473,121 = 473,121 : x
  2. Step 2: Convert to fraction form
    315,198/473,121 = 473,121/x
  3. Step 3: Cross multiply
    315,198x = 473,121 × 473,121
  4. Step 4: Simplify right side
    315,198x = 223,843,480,641
  5. Step 5: Solve for x
    x = 223,843,480,641/315,198
  6. Step 6: Final answer
    x = 710,167.83

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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.