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Finding the Third Proportional to 210,331 and 456,149

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Solution

The third proportional to 210,331 and 456,149 is: 989,259.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,331 : 456,149 = 456,149 : x
  2. Step 2: Convert to fraction form
    210,331/456,149 = 456,149/x
  3. Step 3: Cross multiply
    210,331x = 456,149 × 456,149
  4. Step 4: Simplify right side
    210,331x = 208,071,910,201
  5. Step 5: Solve for x
    x = 208,071,910,201/210,331
  6. Step 6: Final answer
    x = 989,259.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.