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Finding the Third Proportional to 153,188 and 324,040

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Solution

The third proportional to 153,188 and 324,040 is: 685,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,188 : 324,040 = 324,040 : x
  2. Step 2: Convert to fraction form
    153,188/324,040 = 324,040/x
  3. Step 3: Cross multiply
    153,188x = 324,040 × 324,040
  4. Step 4: Simplify right side
    153,188x = 105,001,921,600
  5. Step 5: Solve for x
    x = 105,001,921,600/153,188
  6. Step 6: Final answer
    x = 685,444.82

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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.