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Finding the Third Proportional to 151,330 and 329,330

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Solution

The third proportional to 151,330 and 329,330 is: 716,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,330 : 329,330 = 329,330 : x
  2. Step 2: Convert to fraction form
    151,330/329,330 = 329,330/x
  3. Step 3: Cross multiply
    151,330x = 329,330 × 329,330
  4. Step 4: Simplify right side
    151,330x = 108,458,248,900
  5. Step 5: Solve for x
    x = 108,458,248,900/151,330
  6. Step 6: Final answer
    x = 716,700.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.