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Finding the Third Proportional to 90,783 and 198,792

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Solution

The third proportional to 90,783 and 198,792 is: 435,304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,783 : 198,792 = 198,792 : x
  2. Step 2: Convert to fraction form
    90,783/198,792 = 198,792/x
  3. Step 3: Cross multiply
    90,783x = 198,792 × 198,792
  4. Step 4: Simplify right side
    90,783x = 39,518,259,264
  5. Step 5: Solve for x
    x = 39,518,259,264/90,783
  6. Step 6: Final answer
    x = 435,304.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.