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Finding the Third Proportional to 420,724.13 and 911,979

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Solution

The third proportional to 420,724.13 and 911,979 is: 1,976,843.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,724.13 : 911,979 = 911,979 : x
  2. Step 2: Convert to fraction form
    420,724.13/911,979 = 911,979/x
  3. Step 3: Cross multiply
    420,724.13x = 911,979 × 911,979
  4. Step 4: Simplify right side
    420,724.13x = 831,705,696,441
  5. Step 5: Solve for x
    x = 831,705,696,441/420,724.13
  6. Step 6: Final answer
    x = 1,976,843.37

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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.