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Finding the Third Proportional to 210,244 and 315,301

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Solution

The third proportional to 210,244 and 315,301 is: 472,854.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,244 : 315,301 = 315,301 : x
  2. Step 2: Convert to fraction form
    210,244/315,301 = 315,301/x
  3. Step 3: Cross multiply
    210,244x = 315,301 × 315,301
  4. Step 4: Simplify right side
    210,244x = 99,414,720,601
  5. Step 5: Solve for x
    x = 99,414,720,601/210,244
  6. Step 6: Final answer
    x = 472,854.02

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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.