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Finding the Third Proportional to 90,938 and 197,617

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Solution

The third proportional to 90,938 and 197,617 is: 429,440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,938 : 197,617 = 197,617 : x
  2. Step 2: Convert to fraction form
    90,938/197,617 = 197,617/x
  3. Step 3: Cross multiply
    90,938x = 197,617 × 197,617
  4. Step 4: Simplify right side
    90,938x = 39,052,478,689
  5. Step 5: Solve for x
    x = 39,052,478,689/90,938
  6. Step 6: Final answer
    x = 429,440.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.