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Finding the Third Proportional to 420,722 and 917,593

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Solution

The third proportional to 420,722 and 917,593 is: 2,001,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,722 : 917,593 = 917,593 : x
  2. Step 2: Convert to fraction form
    420,722/917,593 = 917,593/x
  3. Step 3: Cross multiply
    420,722x = 917,593 × 917,593
  4. Step 4: Simplify right side
    420,722x = 841,976,913,649
  5. Step 5: Solve for x
    x = 841,976,913,649/420,722
  6. Step 6: Final answer
    x = 2,001,266.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.