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Finding the Third Proportional to 238,830 and 348,400

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Solution

The third proportional to 238,830 and 348,400 is: 508,238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,830 : 348,400 = 348,400 : x
  2. Step 2: Convert to fraction form
    238,830/348,400 = 348,400/x
  3. Step 3: Cross multiply
    238,830x = 348,400 × 348,400
  4. Step 4: Simplify right side
    238,830x = 121,382,560,000
  5. Step 5: Solve for x
    x = 121,382,560,000/238,830
  6. Step 6: Final answer
    x = 508,238.33

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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.