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Finding the Third Proportional to 420,728 and 917,604

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Solution

The third proportional to 420,728 and 917,604 is: 2,001,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,728 : 917,604 = 917,604 : x
  2. Step 2: Convert to fraction form
    420,728/917,604 = 917,604/x
  3. Step 3: Cross multiply
    420,728x = 917,604 × 917,604
  4. Step 4: Simplify right side
    420,728x = 841,997,100,816
  5. Step 5: Solve for x
    x = 841,997,100,816/420,728
  6. Step 6: Final answer
    x = 2,001,286.11

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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.