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Finding the Third Proportional to 132,300 and 199,678.50

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Solution

The third proportional to 132,300 and 199,678.50 is: 301,371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,300 : 199,678.50 = 199,678.50 : x
  2. Step 2: Convert to fraction form
    132,300/199,678.50 = 199,678.50/x
  3. Step 3: Cross multiply
    132,300x = 199,678.50 × 199,678.50
  4. Step 4: Simplify right side
    132,300x = 39,871,503,362.25
  5. Step 5: Solve for x
    x = 39,871,503,362.25/132,300
  6. Step 6: Final answer
    x = 301,371.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.