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Finding the Third Proportional to 103,089 and 219,678

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Solution

The third proportional to 103,089 and 219,678 is: 468,123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,089 : 219,678 = 219,678 : x
  2. Step 2: Convert to fraction form
    103,089/219,678 = 219,678/x
  3. Step 3: Cross multiply
    103,089x = 219,678 × 219,678
  4. Step 4: Simplify right side
    103,089x = 48,258,423,684
  5. Step 5: Solve for x
    x = 48,258,423,684/103,089
  6. Step 6: Final answer
    x = 468,123.89

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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.