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Finding the Third Proportional to 686,907 and 1,488,219

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Solution

The third proportional to 686,907 and 1,488,219 is: 3,224,302.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,907 : 1,488,219 = 1,488,219 : x
  2. Step 2: Convert to fraction form
    686,907/1,488,219 = 1,488,219/x
  3. Step 3: Cross multiply
    686,907x = 1,488,219 × 1,488,219
  4. Step 4: Simplify right side
    686,907x = 2,214,795,791,961
  5. Step 5: Solve for x
    x = 2,214,795,791,961/686,907
  6. Step 6: Final answer
    x = 3,224,302.26

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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.