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Finding the Third Proportional to 153,235 and 324,900

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Solution

The third proportional to 153,235 and 324,900 is: 688,876.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,235 : 324,900 = 324,900 : x
  2. Step 2: Convert to fraction form
    153,235/324,900 = 324,900/x
  3. Step 3: Cross multiply
    153,235x = 324,900 × 324,900
  4. Step 4: Simplify right side
    153,235x = 105,560,010,000
  5. Step 5: Solve for x
    x = 105,560,010,000/153,235
  6. Step 6: Final answer
    x = 688,876.63

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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.