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Finding the Third Proportional to 153,468 and 328,256

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Solution

The third proportional to 153,468 and 328,256 is: 702,113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,468 : 328,256 = 328,256 : x
  2. Step 2: Convert to fraction form
    153,468/328,256 = 328,256/x
  3. Step 3: Cross multiply
    153,468x = 328,256 × 328,256
  4. Step 4: Simplify right side
    153,468x = 107,752,001,536
  5. Step 5: Solve for x
    x = 107,752,001,536/153,468
  6. Step 6: Final answer
    x = 702,113.81

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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.