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Finding the Third Proportional to 142,315 and 305,733

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Solution

The third proportional to 142,315 and 305,733 is: 656,801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,315 : 305,733 = 305,733 : x
  2. Step 2: Convert to fraction form
    142,315/305,733 = 305,733/x
  3. Step 3: Cross multiply
    142,315x = 305,733 × 305,733
  4. Step 4: Simplify right side
    142,315x = 93,472,667,289
  5. Step 5: Solve for x
    x = 93,472,667,289/142,315
  6. Step 6: Final answer
    x = 656,801.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.