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Finding the Third Proportional to 180,411.75 and 274,870.50

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Solution

The third proportional to 180,411.75 and 274,870.50 is: 418,785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,411.75 : 274,870.50 = 274,870.50 : x
  2. Step 2: Convert to fraction form
    180,411.75/274,870.50 = 274,870.50/x
  3. Step 3: Cross multiply
    180,411.75x = 274,870.50 × 274,870.50
  4. Step 4: Simplify right side
    180,411.75x = 75,553,791,770.25
  5. Step 5: Solve for x
    x = 75,553,791,770.25/180,411.75
  6. Step 6: Final answer
    x = 418,785.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.