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Finding the Third Proportional to 511,221 and 1,107,641

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Solution

The third proportional to 511,221 and 1,107,641 is: 2,399,879.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,221 : 1,107,641 = 1,107,641 : x
  2. Step 2: Convert to fraction form
    511,221/1,107,641 = 1,107,641/x
  3. Step 3: Cross multiply
    511,221x = 1,107,641 × 1,107,641
  4. Step 4: Simplify right side
    511,221x = 1,226,868,584,881
  5. Step 5: Solve for x
    x = 1,226,868,584,881/511,221
  6. Step 6: Final answer
    x = 2,399,879.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.