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Finding the Third Proportional to 420,738 and 918,576

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Solution

The third proportional to 420,738 and 918,576 is: 2,005,480.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,738 : 918,576 = 918,576 : x
  2. Step 2: Convert to fraction form
    420,738/918,576 = 918,576/x
  3. Step 3: Cross multiply
    420,738x = 918,576 × 918,576
  4. Step 4: Simplify right side
    420,738x = 843,781,867,776
  5. Step 5: Solve for x
    x = 843,781,867,776/420,738
  6. Step 6: Final answer
    x = 2,005,480.53

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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.