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Finding the Third Proportional to 360,099.75 and 786,639.38

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Solution

The third proportional to 360,099.75 and 786,639.38 is: 1,718,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,099.75 : 786,639.38 = 786,639.38 : x
  2. Step 2: Convert to fraction form
    360,099.75/786,639.38 = 786,639.38/x
  3. Step 3: Cross multiply
    360,099.75x = 786,639.38 × 786,639.38
  4. Step 4: Simplify right side
    360,099.75x = 618,801,506,300.39
  5. Step 5: Solve for x
    x = 618,801,506,300.39/360,099.75
  6. Step 6: Final answer
    x = 1,718,416.93

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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.