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Finding the Third Proportional to 129,354 and 274,360.50

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Solution

The third proportional to 129,354 and 274,360.50 is: 581,920.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,354 : 274,360.50 = 274,360.50 : x
  2. Step 2: Convert to fraction form
    129,354/274,360.50 = 274,360.50/x
  3. Step 3: Cross multiply
    129,354x = 274,360.50 × 274,360.50
  4. Step 4: Simplify right side
    129,354x = 75,273,683,960.25
  5. Step 5: Solve for x
    x = 75,273,683,960.25/129,354
  6. Step 6: Final answer
    x = 581,920.03

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.