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Finding the Third Proportional to 405,027 and 640,521

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Solution

The third proportional to 405,027 and 640,521 is: 1,012,937.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,027 : 640,521 = 640,521 : x
  2. Step 2: Convert to fraction form
    405,027/640,521 = 640,521/x
  3. Step 3: Cross multiply
    405,027x = 640,521 × 640,521
  4. Step 4: Simplify right side
    405,027x = 410,267,151,441
  5. Step 5: Solve for x
    x = 410,267,151,441/405,027
  6. Step 6: Final answer
    x = 1,012,937.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.