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Finding the Third Proportional to 144,207 and 309,743

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Solution

The third proportional to 144,207 and 309,743 is: 665,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,207 : 309,743 = 309,743 : x
  2. Step 2: Convert to fraction form
    144,207/309,743 = 309,743/x
  3. Step 3: Cross multiply
    144,207x = 309,743 × 309,743
  4. Step 4: Simplify right side
    144,207x = 95,940,726,049
  5. Step 5: Solve for x
    x = 95,940,726,049/144,207
  6. Step 6: Final answer
    x = 665,298.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.