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Finding the Third Proportional to 420,712 and 905,576

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Solution

The third proportional to 420,712 and 905,576 is: 1,949,238.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,712 : 905,576 = 905,576 : x
  2. Step 2: Convert to fraction form
    420,712/905,576 = 905,576/x
  3. Step 3: Cross multiply
    420,712x = 905,576 × 905,576
  4. Step 4: Simplify right side
    420,712x = 820,067,891,776
  5. Step 5: Solve for x
    x = 820,067,891,776/420,712
  6. Step 6: Final answer
    x = 1,949,238.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.