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Finding the Third Proportional to 984,792 and 2,142,129.50

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Solution

The third proportional to 984,792 and 2,142,129.50 is: 4,659,581.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,792 : 2,142,129.50 = 2,142,129.50 : x
  2. Step 2: Convert to fraction form
    984,792/2,142,129.50 = 2,142,129.50/x
  3. Step 3: Cross multiply
    984,792x = 2,142,129.50 × 2,142,129.50
  4. Step 4: Simplify right side
    984,792x = 4,588,718,794,770.25
  5. Step 5: Solve for x
    x = 4,588,718,794,770.25/984,792
  6. Step 6: Final answer
    x = 4,659,581.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.