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Finding the Third Proportional to 7,788,978 and 16,949,475

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Solution

The third proportional to 7,788,978 and 16,949,475 is: 36,883,491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788,978 : 16,949,475 = 16,949,475 : x
  2. Step 2: Convert to fraction form
    7,788,978/16,949,475 = 16,949,475/x
  3. Step 3: Cross multiply
    7,788,978x = 16,949,475 × 16,949,475
  4. Step 4: Simplify right side
    7,788,978x = 287,284,702,775,625
  5. Step 5: Solve for x
    x = 287,284,702,775,625/7,788,978
  6. Step 6: Final answer
    x = 36,883,491.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.