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Finding the Third Proportional to 143,703 and 193,318.50

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Solution

The third proportional to 143,703 and 193,318.50 is: 260,064.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,703 : 193,318.50 = 193,318.50 : x
  2. Step 2: Convert to fraction form
    143,703/193,318.50 = 193,318.50/x
  3. Step 3: Cross multiply
    143,703x = 193,318.50 × 193,318.50
  4. Step 4: Simplify right side
    143,703x = 37,372,042,442.25
  5. Step 5: Solve for x
    x = 37,372,042,442.25/143,703
  6. Step 6: Final answer
    x = 260,064.46

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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.