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Finding the Third Proportional to 203,688 and 437,472

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Solution

The third proportional to 203,688 and 437,472 is: 939,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,688 : 437,472 = 437,472 : x
  2. Step 2: Convert to fraction form
    203,688/437,472 = 437,472/x
  3. Step 3: Cross multiply
    203,688x = 437,472 × 437,472
  4. Step 4: Simplify right side
    203,688x = 191,381,750,784
  5. Step 5: Solve for x
    x = 191,381,750,784/203,688
  6. Step 6: Final answer
    x = 939,582.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.