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Finding the Third Proportional to 144,343 and 207,921

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Solution

The third proportional to 144,343 and 207,921 is: 299,502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,343 : 207,921 = 207,921 : x
  2. Step 2: Convert to fraction form
    144,343/207,921 = 207,921/x
  3. Step 3: Cross multiply
    144,343x = 207,921 × 207,921
  4. Step 4: Simplify right side
    144,343x = 43,231,142,241
  5. Step 5: Solve for x
    x = 43,231,142,241/144,343
  6. Step 6: Final answer
    x = 299,502.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.