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Finding the Third Proportional to 239,270 and 348,519

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Solution

The third proportional to 239,270 and 348,519 is: 507,650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,270 : 348,519 = 348,519 : x
  2. Step 2: Convert to fraction form
    239,270/348,519 = 348,519/x
  3. Step 3: Cross multiply
    239,270x = 348,519 × 348,519
  4. Step 4: Simplify right side
    239,270x = 121,465,493,361
  5. Step 5: Solve for x
    x = 121,465,493,361/239,270
  6. Step 6: Final answer
    x = 507,650.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.