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Finding the Third Proportional to 98,783 and 218,920

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Solution

The third proportional to 98,783 and 218,920 is: 485,164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,783 : 218,920 = 218,920 : x
  2. Step 2: Convert to fraction form
    98,783/218,920 = 218,920/x
  3. Step 3: Cross multiply
    98,783x = 218,920 × 218,920
  4. Step 4: Simplify right side
    98,783x = 47,925,966,400
  5. Step 5: Solve for x
    x = 47,925,966,400/98,783
  6. Step 6: Final answer
    x = 485,164.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.