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Finding the Third Proportional to 142,861.78 and 305,406.56

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Solution

The third proportional to 142,861.78 and 305,406.56 is: 652,890.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,861.78 : 305,406.56 = 305,406.56 : x
  2. Step 2: Convert to fraction form
    142,861.78/305,406.56 = 305,406.56/x
  3. Step 3: Cross multiply
    142,861.78x = 305,406.56 × 305,406.56
  4. Step 4: Simplify right side
    142,861.78x = 93,273,168,418.07
  5. Step 5: Solve for x
    x = 93,273,168,418.07/142,861.78
  6. Step 6: Final answer
    x = 652,890.98

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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.