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Finding the Third Proportional to 139,216.50 and 212,089.13

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Solution

The third proportional to 139,216.50 and 212,089.13 is: 323,106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,216.50 : 212,089.13 = 212,089.13 : x
  2. Step 2: Convert to fraction form
    139,216.50/212,089.13 = 212,089.13/x
  3. Step 3: Cross multiply
    139,216.50x = 212,089.13 × 212,089.13
  4. Step 4: Simplify right side
    139,216.50x = 44,981,796,943.27
  5. Step 5: Solve for x
    x = 44,981,796,943.27/139,216.50
  6. Step 6: Final answer
    x = 323,106.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.