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Finding the Third Proportional to 154.83 and 332.02

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Solution

The third proportional to 154.83 and 332.02 is: 711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.83 : 332.02 = 332.02 : x
  2. Step 2: Convert to fraction form
    154.83/332.02 = 332.02/x
  3. Step 3: Cross multiply
    154.83x = 332.02 × 332.02
  4. Step 4: Simplify right side
    154.83x = 110,234.38
  5. Step 5: Solve for x
    x = 110,234.38/154.83
  6. Step 6: Final answer
    x = 711.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.