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Finding the Third Proportional to 129,768.75 and 174,604.50

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Solution

The third proportional to 129,768.75 and 174,604.50 is: 234,931.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,768.75 : 174,604.50 = 174,604.50 : x
  2. Step 2: Convert to fraction form
    129,768.75/174,604.50 = 174,604.50/x
  3. Step 3: Cross multiply
    129,768.75x = 174,604.50 × 174,604.50
  4. Step 4: Simplify right side
    129,768.75x = 30,486,731,420.25
  5. Step 5: Solve for x
    x = 30,486,731,420.25/129,768.75
  6. Step 6: Final answer
    x = 234,931.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.