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Finding the Third Proportional to 90,730 and 195,284

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Solution

The third proportional to 90,730 and 195,284 is: 420,322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,730 : 195,284 = 195,284 : x
  2. Step 2: Convert to fraction form
    90,730/195,284 = 195,284/x
  3. Step 3: Cross multiply
    90,730x = 195,284 × 195,284
  4. Step 4: Simplify right side
    90,730x = 38,135,840,656
  5. Step 5: Solve for x
    x = 38,135,840,656/90,730
  6. Step 6: Final answer
    x = 420,322.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.