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Finding the Third Proportional to 1,618,381 and 3,489,178

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Solution

The third proportional to 1,618,381 and 3,489,178 is: 7,522,556.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618,381 : 3,489,178 = 3,489,178 : x
  2. Step 2: Convert to fraction form
    1,618,381/3,489,178 = 3,489,178/x
  3. Step 3: Cross multiply
    1,618,381x = 3,489,178 × 3,489,178
  4. Step 4: Simplify right side
    1,618,381x = 12,174,363,115,684
  5. Step 5: Solve for x
    x = 12,174,363,115,684/1,618,381
  6. Step 6: Final answer
    x = 7,522,556.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.