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Finding the Third Proportional to 8,990.50 and 19,439

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Solution

The third proportional to 8,990.50 and 19,439 is: 42,030.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,990.50 : 19,439 = 19,439 : x
  2. Step 2: Convert to fraction form
    8,990.50/19,439 = 19,439/x
  3. Step 3: Cross multiply
    8,990.50x = 19,439 × 19,439
  4. Step 4: Simplify right side
    8,990.50x = 377,874,721
  5. Step 5: Solve for x
    x = 377,874,721/8,990.50
  6. Step 6: Final answer
    x = 42,030.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.