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Finding the Third Proportional to 100,173 and 219,120

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Solution

The third proportional to 100,173 and 219,120 is: 479,306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,173 : 219,120 = 219,120 : x
  2. Step 2: Convert to fraction form
    100,173/219,120 = 219,120/x
  3. Step 3: Cross multiply
    100,173x = 219,120 × 219,120
  4. Step 4: Simplify right side
    100,173x = 48,013,574,400
  5. Step 5: Solve for x
    x = 48,013,574,400/100,173
  6. Step 6: Final answer
    x = 479,306.54

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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.