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Finding the Third Proportional to 1,683,890 and 2,567,860

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Solution

The third proportional to 1,683,890 and 2,567,860 is: 3,915,876.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,890 : 2,567,860 = 2,567,860 : x
  2. Step 2: Convert to fraction form
    1,683,890/2,567,860 = 2,567,860/x
  3. Step 3: Cross multiply
    1,683,890x = 2,567,860 × 2,567,860
  4. Step 4: Simplify right side
    1,683,890x = 6,593,904,979,600
  5. Step 5: Solve for x
    x = 6,593,904,979,600/1,683,890
  6. Step 6: Final answer
    x = 3,915,876.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.