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Finding the Third Proportional to 210,444.75 and 315,910.13

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Solution

The third proportional to 210,444.75 and 315,910.13 is: 474,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,444.75 : 315,910.13 = 315,910.13 : x
  2. Step 2: Convert to fraction form
    210,444.75/315,910.13 = 315,910.13/x
  3. Step 3: Cross multiply
    210,444.75x = 315,910.13 × 315,910.13
  4. Step 4: Simplify right side
    210,444.75x = 99,799,207,077.52
  5. Step 5: Solve for x
    x = 99,799,207,077.52/210,444.75
  6. Step 6: Final answer
    x = 474,229.97

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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.