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Finding the Third Proportional to 686,515.50 and 1,420,767

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Solution

The third proportional to 686,515.50 and 1,420,767 is: 2,940,325.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,515.50 : 1,420,767 = 1,420,767 : x
  2. Step 2: Convert to fraction form
    686,515.50/1,420,767 = 1,420,767/x
  3. Step 3: Cross multiply
    686,515.50x = 1,420,767 × 1,420,767
  4. Step 4: Simplify right side
    686,515.50x = 2,018,578,868,289
  5. Step 5: Solve for x
    x = 2,018,578,868,289/686,515.50
  6. Step 6: Final answer
    x = 2,940,325.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.