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Finding the Third Proportional to 686,240 and 1,486,976

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Solution

The third proportional to 686,240 and 1,486,976 is: 3,222,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,240 : 1,486,976 = 1,486,976 : x
  2. Step 2: Convert to fraction form
    686,240/1,486,976 = 1,486,976/x
  3. Step 3: Cross multiply
    686,240x = 1,486,976 × 1,486,976
  4. Step 4: Simplify right side
    686,240x = 2,211,097,624,576
  5. Step 5: Solve for x
    x = 2,211,097,624,576/686,240
  6. Step 6: Final answer
    x = 3,222,047.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.