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Finding the Third Proportional to 420,170 and 921,970

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Solution

The third proportional to 420,170 and 921,970 is: 2,023,058.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,170 : 921,970 = 921,970 : x
  2. Step 2: Convert to fraction form
    420,170/921,970 = 921,970/x
  3. Step 3: Cross multiply
    420,170x = 921,970 × 921,970
  4. Step 4: Simplify right side
    420,170x = 850,028,680,900
  5. Step 5: Solve for x
    x = 850,028,680,900/420,170
  6. Step 6: Final answer
    x = 2,023,058.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.