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Finding the Third Proportional to 299,215 and 437,250

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Solution

The third proportional to 299,215 and 437,250 is: 638,963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,215 : 437,250 = 437,250 : x
  2. Step 2: Convert to fraction form
    299,215/437,250 = 437,250/x
  3. Step 3: Cross multiply
    299,215x = 437,250 × 437,250
  4. Step 4: Simplify right side
    299,215x = 191,187,562,500
  5. Step 5: Solve for x
    x = 191,187,562,500/299,215
  6. Step 6: Final answer
    x = 638,963.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.