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Finding the Third Proportional to 153,213 and 325,218

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Solution

The third proportional to 153,213 and 325,218 is: 690,324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,213 : 325,218 = 325,218 : x
  2. Step 2: Convert to fraction form
    153,213/325,218 = 325,218/x
  3. Step 3: Cross multiply
    153,213x = 325,218 × 325,218
  4. Step 4: Simplify right side
    153,213x = 105,766,747,524
  5. Step 5: Solve for x
    x = 105,766,747,524/153,213
  6. Step 6: Final answer
    x = 690,324.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.