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Finding the Third Proportional to 43,840 and 90,784

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Solution

The third proportional to 43,840 and 90,784 is: 187,995.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,840 : 90,784 = 90,784 : x
  2. Step 2: Convert to fraction form
    43,840/90,784 = 90,784/x
  3. Step 3: Cross multiply
    43,840x = 90,784 × 90,784
  4. Step 4: Simplify right side
    43,840x = 8,241,734,656
  5. Step 5: Solve for x
    x = 8,241,734,656/43,840
  6. Step 6: Final answer
    x = 187,995.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.