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Finding the Third Proportional to 139,438.50 and 286,293

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Solution

The third proportional to 139,438.50 and 286,293 is: 587,812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,438.50 : 286,293 = 286,293 : x
  2. Step 2: Convert to fraction form
    139,438.50/286,293 = 286,293/x
  3. Step 3: Cross multiply
    139,438.50x = 286,293 × 286,293
  4. Step 4: Simplify right side
    139,438.50x = 81,963,681,849
  5. Step 5: Solve for x
    x = 81,963,681,849/139,438.50
  6. Step 6: Final answer
    x = 587,812.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.