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Finding the Third Proportional to 153,025 and 324,234

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Solution

The third proportional to 153,025 and 324,234 is: 686,996.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,025 : 324,234 = 324,234 : x
  2. Step 2: Convert to fraction form
    153,025/324,234 = 324,234/x
  3. Step 3: Cross multiply
    153,025x = 324,234 × 324,234
  4. Step 4: Simplify right side
    153,025x = 105,127,686,756
  5. Step 5: Solve for x
    x = 105,127,686,756/153,025
  6. Step 6: Final answer
    x = 686,996.81

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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.