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Finding the Third Proportional to 238,130 and 323,406

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Solution

The third proportional to 238,130 and 323,406 is: 439,219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,130 : 323,406 = 323,406 : x
  2. Step 2: Convert to fraction form
    238,130/323,406 = 323,406/x
  3. Step 3: Cross multiply
    238,130x = 323,406 × 323,406
  4. Step 4: Simplify right side
    238,130x = 104,591,440,836
  5. Step 5: Solve for x
    x = 104,591,440,836/238,130
  6. Step 6: Final answer
    x = 439,219.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.