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Finding the Third Proportional to 153,262 and 324,768

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Solution

The third proportional to 153,262 and 324,768 is: 688,195.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,262 : 324,768 = 324,768 : x
  2. Step 2: Convert to fraction form
    153,262/324,768 = 324,768/x
  3. Step 3: Cross multiply
    153,262x = 324,768 × 324,768
  4. Step 4: Simplify right side
    153,262x = 105,474,253,824
  5. Step 5: Solve for x
    x = 105,474,253,824/153,262
  6. Step 6: Final answer
    x = 688,195.73

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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.