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Finding the Third Proportional to 109,476 and 239,400

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Solution

The third proportional to 109,476 and 239,400 is: 523,515.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,476 : 239,400 = 239,400 : x
  2. Step 2: Convert to fraction form
    109,476/239,400 = 239,400/x
  3. Step 3: Cross multiply
    109,476x = 239,400 × 239,400
  4. Step 4: Simplify right side
    109,476x = 57,312,360,000
  5. Step 5: Solve for x
    x = 57,312,360,000/109,476
  6. Step 6: Final answer
    x = 523,515.29

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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.