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Finding the Third Proportional to 56,325 and 118,986

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Solution

The third proportional to 56,325 and 118,986 is: 251,356.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,325 : 118,986 = 118,986 : x
  2. Step 2: Convert to fraction form
    56,325/118,986 = 118,986/x
  3. Step 3: Cross multiply
    56,325x = 118,986 × 118,986
  4. Step 4: Simplify right side
    56,325x = 14,157,668,196
  5. Step 5: Solve for x
    x = 14,157,668,196/56,325
  6. Step 6: Final answer
    x = 251,356.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.