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Finding the Third Proportional to 238,868 and 361,390

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Solution

The third proportional to 238,868 and 361,390 is: 546,756.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,868 : 361,390 = 361,390 : x
  2. Step 2: Convert to fraction form
    238,868/361,390 = 361,390/x
  3. Step 3: Cross multiply
    238,868x = 361,390 × 361,390
  4. Step 4: Simplify right side
    238,868x = 130,602,732,100
  5. Step 5: Solve for x
    x = 130,602,732,100/238,868
  6. Step 6: Final answer
    x = 546,756.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.