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Finding the Third Proportional to 142,263 and 305,613

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Solution

The third proportional to 142,263 and 305,613 is: 656,525.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,263 : 305,613 = 305,613 : x
  2. Step 2: Convert to fraction form
    142,263/305,613 = 305,613/x
  3. Step 3: Cross multiply
    142,263x = 305,613 × 305,613
  4. Step 4: Simplify right side
    142,263x = 93,399,305,769
  5. Step 5: Solve for x
    x = 93,399,305,769/142,263
  6. Step 6: Final answer
    x = 656,525.63

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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.