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Finding the Third Proportional to 139,711.50 and 221,324.06

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Solution

The third proportional to 139,711.50 and 221,324.06 is: 350,610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,711.50 : 221,324.06 = 221,324.06 : x
  2. Step 2: Convert to fraction form
    139,711.50/221,324.06 = 221,324.06/x
  3. Step 3: Cross multiply
    139,711.50x = 221,324.06 × 221,324.06
  4. Step 4: Simplify right side
    139,711.50x = 48,984,340,641.50
  5. Step 5: Solve for x
    x = 48,984,340,641.50/139,711.50
  6. Step 6: Final answer
    x = 350,610.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.