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Finding the Third Proportional to 129,660.75 and 191,506.50

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Solution

The third proportional to 129,660.75 and 191,506.50 is: 282,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,660.75 : 191,506.50 = 191,506.50 : x
  2. Step 2: Convert to fraction form
    129,660.75/191,506.50 = 191,506.50/x
  3. Step 3: Cross multiply
    129,660.75x = 191,506.50 × 191,506.50
  4. Step 4: Simplify right side
    129,660.75x = 36,674,739,542.25
  5. Step 5: Solve for x
    x = 36,674,739,542.25/129,660.75
  6. Step 6: Final answer
    x = 282,851.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.