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Finding the Third Proportional to 109,606 and 239,070

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Solution

The third proportional to 109,606 and 239,070 is: 521,453.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,606 : 239,070 = 239,070 : x
  2. Step 2: Convert to fraction form
    109,606/239,070 = 239,070/x
  3. Step 3: Cross multiply
    109,606x = 239,070 × 239,070
  4. Step 4: Simplify right side
    109,606x = 57,154,464,900
  5. Step 5: Solve for x
    x = 57,154,464,900/109,606
  6. Step 6: Final answer
    x = 521,453.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.