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Finding the Third Proportional to 152.30 and 332.86

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Solution

The third proportional to 152.30 and 332.86 is: 727.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.30 : 332.86 = 332.86 : x
  2. Step 2: Convert to fraction form
    152.30/332.86 = 332.86/x
  3. Step 3: Cross multiply
    152.30x = 332.86 × 332.86
  4. Step 4: Simplify right side
    152.30x = 110,795.36
  5. Step 5: Solve for x
    x = 110,795.36/152.30
  6. Step 6: Final answer
    x = 727.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.