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Finding the Third Proportional to 142,115.75 and 305,737

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Solution

The third proportional to 142,115.75 and 305,737 is: 657,739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,115.75 : 305,737 = 305,737 : x
  2. Step 2: Convert to fraction form
    142,115.75/305,737 = 305,737/x
  3. Step 3: Cross multiply
    142,115.75x = 305,737 × 305,737
  4. Step 4: Simplify right side
    142,115.75x = 93,475,113,169
  5. Step 5: Solve for x
    x = 93,475,113,169/142,115.75
  6. Step 6: Final answer
    x = 657,739.29

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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.