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Finding the Third Proportional to 142,113 and 303,918.75

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Solution

The third proportional to 142,113 and 303,918.75 is: 649,951.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,113 : 303,918.75 = 303,918.75 : x
  2. Step 2: Convert to fraction form
    142,113/303,918.75 = 303,918.75/x
  3. Step 3: Cross multiply
    142,113x = 303,918.75 × 303,918.75
  4. Step 4: Simplify right side
    142,113x = 92,366,606,601.56
  5. Step 5: Solve for x
    x = 92,366,606,601.56/142,113
  6. Step 6: Final answer
    x = 649,951.85

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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.