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Finding the Third Proportional to 290,472 and 638,220

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Solution

The third proportional to 290,472 and 638,220 is: 1,402,285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,472 : 638,220 = 638,220 : x
  2. Step 2: Convert to fraction form
    290,472/638,220 = 638,220/x
  3. Step 3: Cross multiply
    290,472x = 638,220 × 638,220
  4. Step 4: Simplify right side
    290,472x = 407,324,768,400
  5. Step 5: Solve for x
    x = 407,324,768,400/290,472
  6. Step 6: Final answer
    x = 1,402,285.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.