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Finding the Third Proportional to 140.56 and 291.93

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Solution

The third proportional to 140.56 and 291.93 is: 606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.56 : 291.93 = 291.93 : x
  2. Step 2: Convert to fraction form
    140.56/291.93 = 291.93/x
  3. Step 3: Cross multiply
    140.56x = 291.93 × 291.93
  4. Step 4: Simplify right side
    140.56x = 85,222.69
  5. Step 5: Solve for x
    x = 85,222.69/140.56
  6. Step 6: Final answer
    x = 606.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.