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Finding the Third Proportional to 143,386.31 and 315,082.13

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Solution

The third proportional to 143,386.31 and 315,082.13 is: 692,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,386.31 : 315,082.13 = 315,082.13 : x
  2. Step 2: Convert to fraction form
    143,386.31/315,082.13 = 315,082.13/x
  3. Step 3: Cross multiply
    143,386.31x = 315,082.13 × 315,082.13
  4. Step 4: Simplify right side
    143,386.31x = 99,276,745,494.52
  5. Step 5: Solve for x
    x = 99,276,745,494.52/143,386.31
  6. Step 6: Final answer
    x = 692,372.54

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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.