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Finding the Third Proportional to 251,248 and 352,120

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Solution

The third proportional to 251,248 and 352,120 is: 493,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,248 : 352,120 = 352,120 : x
  2. Step 2: Convert to fraction form
    251,248/352,120 = 352,120/x
  3. Step 3: Cross multiply
    251,248x = 352,120 × 352,120
  4. Step 4: Simplify right side
    251,248x = 123,988,494,400
  5. Step 5: Solve for x
    x = 123,988,494,400/251,248
  6. Step 6: Final answer
    x = 493,490.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.