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Finding the Third Proportional to 290,800 and 437,656

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Solution

The third proportional to 290,800 and 437,656 is: 658,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,800 : 437,656 = 437,656 : x
  2. Step 2: Convert to fraction form
    290,800/437,656 = 437,656/x
  3. Step 3: Cross multiply
    290,800x = 437,656 × 437,656
  4. Step 4: Simplify right side
    290,800x = 191,542,774,336
  5. Step 5: Solve for x
    x = 191,542,774,336/290,800
  6. Step 6: Final answer
    x = 658,675.29

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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.