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Finding the Third Proportional to 103,142 and 219,906

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Solution

The third proportional to 103,142 and 219,906 is: 468,855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,142 : 219,906 = 219,906 : x
  2. Step 2: Convert to fraction form
    103,142/219,906 = 219,906/x
  3. Step 3: Cross multiply
    103,142x = 219,906 × 219,906
  4. Step 4: Simplify right side
    103,142x = 48,358,648,836
  5. Step 5: Solve for x
    x = 48,358,648,836/103,142
  6. Step 6: Final answer
    x = 468,855.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.