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Finding the Third Proportional to 140.43 and 292.06

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Solution

The third proportional to 140.43 and 292.06 is: 607.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.43 : 292.06 = 292.06 : x
  2. Step 2: Convert to fraction form
    140.43/292.06 = 292.06/x
  3. Step 3: Cross multiply
    140.43x = 292.06 × 292.06
  4. Step 4: Simplify right side
    140.43x = 85,300.65
  5. Step 5: Solve for x
    x = 85,300.65/140.43
  6. Step 6: Final answer
    x = 607.45

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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.