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Finding the Third Proportional to 412,888 and 906,970

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Solution

The third proportional to 412,888 and 906,970 is: 1,992,294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,888 : 906,970 = 906,970 : x
  2. Step 2: Convert to fraction form
    412,888/906,970 = 906,970/x
  3. Step 3: Cross multiply
    412,888x = 906,970 × 906,970
  4. Step 4: Simplify right side
    412,888x = 822,594,580,900
  5. Step 5: Solve for x
    x = 822,594,580,900/412,888
  6. Step 6: Final answer
    x = 1,992,294.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.