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Finding the Third Proportional to 415,047 and 906,979

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Solution

The third proportional to 415,047 and 906,979 is: 1,981,970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,047 : 906,979 = 906,979 : x
  2. Step 2: Convert to fraction form
    415,047/906,979 = 906,979/x
  3. Step 3: Cross multiply
    415,047x = 906,979 × 906,979
  4. Step 4: Simplify right side
    415,047x = 822,610,906,441
  5. Step 5: Solve for x
    x = 822,610,906,441/415,047
  6. Step 6: Final answer
    x = 1,981,970.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.