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Finding the Third Proportional to 685,476 and 1,487,592

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Solution

The third proportional to 685,476 and 1,487,592 is: 3,228,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,476 : 1,487,592 = 1,487,592 : x
  2. Step 2: Convert to fraction form
    685,476/1,487,592 = 1,487,592/x
  3. Step 3: Cross multiply
    685,476x = 1,487,592 × 1,487,592
  4. Step 4: Simplify right side
    685,476x = 2,212,929,958,464
  5. Step 5: Solve for x
    x = 2,212,929,958,464/685,476
  6. Step 6: Final answer
    x = 3,228,311.36

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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.