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Finding the Third Proportional to 90,972 and 197,484

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Solution

The third proportional to 90,972 and 197,484 is: 428,702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,972 : 197,484 = 197,484 : x
  2. Step 2: Convert to fraction form
    90,972/197,484 = 197,484/x
  3. Step 3: Cross multiply
    90,972x = 197,484 × 197,484
  4. Step 4: Simplify right side
    90,972x = 38,999,930,256
  5. Step 5: Solve for x
    x = 38,999,930,256/90,972
  6. Step 6: Final answer
    x = 428,702.57

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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.