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Finding the Third Proportional to 210,065 and 315,251

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Solution

The third proportional to 210,065 and 315,251 is: 473,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,065 : 315,251 = 315,251 : x
  2. Step 2: Convert to fraction form
    210,065/315,251 = 315,251/x
  3. Step 3: Cross multiply
    210,065x = 315,251 × 315,251
  4. Step 4: Simplify right side
    210,065x = 99,383,193,001
  5. Step 5: Solve for x
    x = 99,383,193,001/210,065
  6. Step 6: Final answer
    x = 473,106.86

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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.