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Finding the Third Proportional to 138,904.50 and 210,293

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Solution

The third proportional to 138,904.50 and 210,293 is: 318,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,904.50 : 210,293 = 210,293 : x
  2. Step 2: Convert to fraction form
    138,904.50/210,293 = 210,293/x
  3. Step 3: Cross multiply
    138,904.50x = 210,293 × 210,293
  4. Step 4: Simplify right side
    138,904.50x = 44,223,145,849
  5. Step 5: Solve for x
    x = 44,223,145,849/138,904.50
  6. Step 6: Final answer
    x = 318,370.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.