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Finding the Third Proportional to 109,913 and 239,410

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Solution

The third proportional to 109,913 and 239,410 is: 521,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,913 : 239,410 = 239,410 : x
  2. Step 2: Convert to fraction form
    109,913/239,410 = 239,410/x
  3. Step 3: Cross multiply
    109,913x = 239,410 × 239,410
  4. Step 4: Simplify right side
    109,913x = 57,317,148,100
  5. Step 5: Solve for x
    x = 57,317,148,100/109,913
  6. Step 6: Final answer
    x = 521,477.42

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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.