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Finding the Third Proportional to 680,838.75 and 989,334

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Solution

The third proportional to 680,838.75 and 989,334 is: 1,437,611.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,838.75 : 989,334 = 989,334 : x
  2. Step 2: Convert to fraction form
    680,838.75/989,334 = 989,334/x
  3. Step 3: Cross multiply
    680,838.75x = 989,334 × 989,334
  4. Step 4: Simplify right side
    680,838.75x = 978,781,763,556
  5. Step 5: Solve for x
    x = 978,781,763,556/680,838.75
  6. Step 6: Final answer
    x = 1,437,611.72

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.