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Finding the Third Proportional to 138,237 and 207,883.50

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Solution

The third proportional to 138,237 and 207,883.50 is: 312,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,237 : 207,883.50 = 207,883.50 : x
  2. Step 2: Convert to fraction form
    138,237/207,883.50 = 207,883.50/x
  3. Step 3: Cross multiply
    138,237x = 207,883.50 × 207,883.50
  4. Step 4: Simplify right side
    138,237x = 43,215,549,572.25
  5. Step 5: Solve for x
    x = 43,215,549,572.25/138,237
  6. Step 6: Final answer
    x = 312,619.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.