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Finding the Third Proportional to 143,862 and 316,275

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Solution

The third proportional to 143,862 and 316,275 is: 695,318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,862 : 316,275 = 316,275 : x
  2. Step 2: Convert to fraction form
    143,862/316,275 = 316,275/x
  3. Step 3: Cross multiply
    143,862x = 316,275 × 316,275
  4. Step 4: Simplify right side
    143,862x = 100,029,875,625
  5. Step 5: Solve for x
    x = 100,029,875,625/143,862
  6. Step 6: Final answer
    x = 695,318.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.