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Finding the Third Proportional to 239,840 and 346,500

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Solution

The third proportional to 239,840 and 346,500 is: 500,593.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,840 : 346,500 = 346,500 : x
  2. Step 2: Convert to fraction form
    239,840/346,500 = 346,500/x
  3. Step 3: Cross multiply
    239,840x = 346,500 × 346,500
  4. Step 4: Simplify right side
    239,840x = 120,062,250,000
  5. Step 5: Solve for x
    x = 120,062,250,000/239,840
  6. Step 6: Final answer
    x = 500,593.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.