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Finding the Third Proportional to 57,988 and 91,914

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Solution

The third proportional to 57,988 and 91,914 is: 145,688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,988 : 91,914 = 91,914 : x
  2. Step 2: Convert to fraction form
    57,988/91,914 = 91,914/x
  3. Step 3: Cross multiply
    57,988x = 91,914 × 91,914
  4. Step 4: Simplify right side
    57,988x = 8,448,183,396
  5. Step 5: Solve for x
    x = 8,448,183,396/57,988
  6. Step 6: Final answer
    x = 145,688.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.