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Finding the Third Proportional to 12,874,976 and 18,046,918

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Solution

The third proportional to 12,874,976 and 18,046,918 is: 25,296,454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874,976 : 18,046,918 = 18,046,918 : x
  2. Step 2: Convert to fraction form
    12,874,976/18,046,918 = 18,046,918/x
  3. Step 3: Cross multiply
    12,874,976x = 18,046,918 × 18,046,918
  4. Step 4: Simplify right side
    12,874,976x = 325,691,249,298,724
  5. Step 5: Solve for x
    x = 325,691,249,298,724/12,874,976
  6. Step 6: Final answer
    x = 25,296,454.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.