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Finding the Third Proportional to 6,436,980 and 13,403,080

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Solution

The third proportional to 6,436,980 and 13,403,080 is: 27,907,893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436,980 : 13,403,080 = 13,403,080 : x
  2. Step 2: Convert to fraction form
    6,436,980/13,403,080 = 13,403,080/x
  3. Step 3: Cross multiply
    6,436,980x = 13,403,080 × 13,403,080
  4. Step 4: Simplify right side
    6,436,980x = 179,642,553,486,400
  5. Step 5: Solve for x
    x = 179,642,553,486,400/6,436,980
  6. Step 6: Final answer
    x = 27,907,893.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.