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Finding the Third Proportional to 138,904.88 and 324,572.06

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Solution

The third proportional to 138,904.88 and 324,572.06 is: 758,411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,904.88 : 324,572.06 = 324,572.06 : x
  2. Step 2: Convert to fraction form
    138,904.88/324,572.06 = 324,572.06/x
  3. Step 3: Cross multiply
    138,904.88x = 324,572.06 × 324,572.06
  4. Step 4: Simplify right side
    138,904.88x = 105,347,023,755.50
  5. Step 5: Solve for x
    x = 105,347,023,755.50/138,904.88
  6. Step 6: Final answer
    x = 758,411.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.