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Finding the Third Proportional to 143,889.50 and 316,331

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Solution

The third proportional to 143,889.50 and 316,331 is: 695,431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,889.50 : 316,331 = 316,331 : x
  2. Step 2: Convert to fraction form
    143,889.50/316,331 = 316,331/x
  3. Step 3: Cross multiply
    143,889.50x = 316,331 × 316,331
  4. Step 4: Simplify right side
    143,889.50x = 100,065,301,561
  5. Step 5: Solve for x
    x = 100,065,301,561/143,889.50
  6. Step 6: Final answer
    x = 695,431.57

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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.