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Finding the Third Proportional to 686,766 and 1,487,937

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Solution

The third proportional to 686,766 and 1,487,937 is: 3,223,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,766 : 1,487,937 = 1,487,937 : x
  2. Step 2: Convert to fraction form
    686,766/1,487,937 = 1,487,937/x
  3. Step 3: Cross multiply
    686,766x = 1,487,937 × 1,487,937
  4. Step 4: Simplify right side
    686,766x = 2,213,956,515,969
  5. Step 5: Solve for x
    x = 2,213,956,515,969/686,766
  6. Step 6: Final answer
    x = 3,223,742.17

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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.