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Finding the Third Proportional to 143,862 and 312,186

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Solution

The third proportional to 143,862 and 312,186 is: 677,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,862 : 312,186 = 312,186 : x
  2. Step 2: Convert to fraction form
    143,862/312,186 = 312,186/x
  3. Step 3: Cross multiply
    143,862x = 312,186 × 312,186
  4. Step 4: Simplify right side
    143,862x = 97,460,098,596
  5. Step 5: Solve for x
    x = 97,460,098,596/143,862
  6. Step 6: Final answer
    x = 677,455.47

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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.