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Finding the Third Proportional to 210,100 and 315,302

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Solution

The third proportional to 210,100 and 315,302 is: 473,181.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,100 : 315,302 = 315,302 : x
  2. Step 2: Convert to fraction form
    210,100/315,302 = 315,302/x
  3. Step 3: Cross multiply
    210,100x = 315,302 × 315,302
  4. Step 4: Simplify right side
    210,100x = 99,415,351,204
  5. Step 5: Solve for x
    x = 99,415,351,204/210,100
  6. Step 6: Final answer
    x = 473,181.11

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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.