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Finding the Third Proportional to 666,968.25 and 998,618.25

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Solution

The third proportional to 666,968.25 and 998,618.25 is: 1,495,181.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,968.25 : 998,618.25 = 998,618.25 : x
  2. Step 2: Convert to fraction form
    666,968.25/998,618.25 = 998,618.25/x
  3. Step 3: Cross multiply
    666,968.25x = 998,618.25 × 998,618.25
  4. Step 4: Simplify right side
    666,968.25x = 997,238,409,233.06
  5. Step 5: Solve for x
    x = 997,238,409,233.06/666,968.25
  6. Step 6: Final answer
    x = 1,495,181.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.