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Finding the Third Proportional to 57,854 and 91,686

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Solution

The third proportional to 57,854 and 91,686 is: 145,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,854 : 91,686 = 91,686 : x
  2. Step 2: Convert to fraction form
    57,854/91,686 = 91,686/x
  3. Step 3: Cross multiply
    57,854x = 91,686 × 91,686
  4. Step 4: Simplify right side
    57,854x = 8,406,322,596
  5. Step 5: Solve for x
    x = 8,406,322,596/57,854
  6. Step 6: Final answer
    x = 145,302.36

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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.