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Finding the Third Proportional to 724,366.50 and 983,781

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Solution

The third proportional to 724,366.50 and 983,781 is: 1,336,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,366.50 : 983,781 = 983,781 : x
  2. Step 2: Convert to fraction form
    724,366.50/983,781 = 983,781/x
  3. Step 3: Cross multiply
    724,366.50x = 983,781 × 983,781
  4. Step 4: Simplify right side
    724,366.50x = 967,825,055,961
  5. Step 5: Solve for x
    x = 967,825,055,961/724,366.50
  6. Step 6: Final answer
    x = 1,336,098.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.