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Finding the Third Proportional to 142,443.46 and 217,283.13

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Solution

The third proportional to 142,443.46 and 217,283.13 is: 331,443.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,443.46 : 217,283.13 = 217,283.13 : x
  2. Step 2: Convert to fraction form
    142,443.46/217,283.13 = 217,283.13/x
  3. Step 3: Cross multiply
    142,443.46x = 217,283.13 × 217,283.13
  4. Step 4: Simplify right side
    142,443.46x = 47,211,959,804.81
  5. Step 5: Solve for x
    x = 47,211,959,804.81/142,443.46
  6. Step 6: Final answer
    x = 331,443.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.