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Finding the Third Proportional to 42,864 and 91,284

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Solution

The third proportional to 42,864 and 91,284 is: 194,400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,864 : 91,284 = 91,284 : x
  2. Step 2: Convert to fraction form
    42,864/91,284 = 91,284/x
  3. Step 3: Cross multiply
    42,864x = 91,284 × 91,284
  4. Step 4: Simplify right side
    42,864x = 8,332,768,656
  5. Step 5: Solve for x
    x = 8,332,768,656/42,864
  6. Step 6: Final answer
    x = 194,400.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.