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Finding the Third Proportional to 153,552 and 332,256

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Solution

The third proportional to 153,552 and 332,256 is: 718,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,552 : 332,256 = 332,256 : x
  2. Step 2: Convert to fraction form
    153,552/332,256 = 332,256/x
  3. Step 3: Cross multiply
    153,552x = 332,256 × 332,256
  4. Step 4: Simplify right side
    153,552x = 110,394,049,536
  5. Step 5: Solve for x
    x = 110,394,049,536/153,552
  6. Step 6: Final answer
    x = 718,935.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.