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Finding the Third Proportional to 143,742 and 307,186

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Solution

The third proportional to 143,742 and 307,186 is: 656,476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,742 : 307,186 = 307,186 : x
  2. Step 2: Convert to fraction form
    143,742/307,186 = 307,186/x
  3. Step 3: Cross multiply
    143,742x = 307,186 × 307,186
  4. Step 4: Simplify right side
    143,742x = 94,363,238,596
  5. Step 5: Solve for x
    x = 94,363,238,596/143,742
  6. Step 6: Final answer
    x = 656,476.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.