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Finding the Third Proportional to 153,387 and 328,098

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Solution

The third proportional to 153,387 and 328,098 is: 701,808.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,387 : 328,098 = 328,098 : x
  2. Step 2: Convert to fraction form
    153,387/328,098 = 328,098/x
  3. Step 3: Cross multiply
    153,387x = 328,098 × 328,098
  4. Step 4: Simplify right side
    153,387x = 107,648,297,604
  5. Step 5: Solve for x
    x = 107,648,297,604/153,387
  6. Step 6: Final answer
    x = 701,808.48

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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.