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Finding the Third Proportional to 313,154.44 and 686,158.17

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Solution

The third proportional to 313,154.44 and 686,158.17 is: 1,503,453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,154.44 : 686,158.17 = 686,158.17 : x
  2. Step 2: Convert to fraction form
    313,154.44/686,158.17 = 686,158.17/x
  3. Step 3: Cross multiply
    313,154.44x = 686,158.17 × 686,158.17
  4. Step 4: Simplify right side
    313,154.44x = 470,813,036,830.84
  5. Step 5: Solve for x
    x = 470,813,036,830.84/313,154.44
  6. Step 6: Final answer
    x = 1,503,453.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.