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Finding the Third Proportional to 120,109.50 and 176,548.50

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Solution

The third proportional to 120,109.50 and 176,548.50 is: 259,507.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,109.50 : 176,548.50 = 176,548.50 : x
  2. Step 2: Convert to fraction form
    120,109.50/176,548.50 = 176,548.50/x
  3. Step 3: Cross multiply
    120,109.50x = 176,548.50 × 176,548.50
  4. Step 4: Simplify right side
    120,109.50x = 31,169,372,852.25
  5. Step 5: Solve for x
    x = 31,169,372,852.25/120,109.50
  6. Step 6: Final answer
    x = 259,507.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.