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Finding the Third Proportional to 118,281.50 and 271,463.50

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Solution

The third proportional to 118,281.50 and 271,463.50 is: 623,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,281.50 : 271,463.50 = 271,463.50 : x
  2. Step 2: Convert to fraction form
    118,281.50/271,463.50 = 271,463.50/x
  3. Step 3: Cross multiply
    118,281.50x = 271,463.50 × 271,463.50
  4. Step 4: Simplify right side
    118,281.50x = 73,692,431,832.25
  5. Step 5: Solve for x
    x = 73,692,431,832.25/118,281.50
  6. Step 6: Final answer
    x = 623,025.85

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.