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Finding the Third Proportional to 153,054 and 324,634

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Solution

The third proportional to 153,054 and 324,634 is: 688,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,054 : 324,634 = 324,634 : x
  2. Step 2: Convert to fraction form
    153,054/324,634 = 324,634/x
  3. Step 3: Cross multiply
    153,054x = 324,634 × 324,634
  4. Step 4: Simplify right side
    153,054x = 105,387,233,956
  5. Step 5: Solve for x
    x = 105,387,233,956/153,054
  6. Step 6: Final answer
    x = 688,562.43

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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.