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Finding the Third Proportional to 415,051 and 906,987

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Solution

The third proportional to 415,051 and 906,987 is: 1,981,986.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,051 : 906,987 = 906,987 : x
  2. Step 2: Convert to fraction form
    415,051/906,987 = 906,987/x
  3. Step 3: Cross multiply
    415,051x = 906,987 × 906,987
  4. Step 4: Simplify right side
    415,051x = 822,625,418,169
  5. Step 5: Solve for x
    x = 822,625,418,169/415,051
  6. Step 6: Final answer
    x = 1,981,986.35

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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.