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Finding the Third Proportional to 100,798 and 220,748

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Solution

The third proportional to 100,798 and 220,748 is: 483,438.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,798 : 220,748 = 220,748 : x
  2. Step 2: Convert to fraction form
    100,798/220,748 = 220,748/x
  3. Step 3: Cross multiply
    100,798x = 220,748 × 220,748
  4. Step 4: Simplify right side
    100,798x = 48,729,679,504
  5. Step 5: Solve for x
    x = 48,729,679,504/100,798
  6. Step 6: Final answer
    x = 483,438.95

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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.