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Finding the Third Proportional to 238,142 and 323,423

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Solution

The third proportional to 238,142 and 323,423 is: 439,243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,142 : 323,423 = 323,423 : x
  2. Step 2: Convert to fraction form
    238,142/323,423 = 323,423/x
  3. Step 3: Cross multiply
    238,142x = 323,423 × 323,423
  4. Step 4: Simplify right side
    238,142x = 104,602,436,929
  5. Step 5: Solve for x
    x = 104,602,436,929/238,142
  6. Step 6: Final answer
    x = 439,243.97

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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.