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Finding the Third Proportional to 5,673,180 and 8,489,721

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Solution

The third proportional to 5,673,180 and 8,489,721 is: 12,704,578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673,180 : 8,489,721 = 8,489,721 : x
  2. Step 2: Convert to fraction form
    5,673,180/8,489,721 = 8,489,721/x
  3. Step 3: Cross multiply
    5,673,180x = 8,489,721 × 8,489,721
  4. Step 4: Simplify right side
    5,673,180x = 72,075,362,657,841
  5. Step 5: Solve for x
    x = 72,075,362,657,841/5,673,180
  6. Step 6: Final answer
    x = 12,704,578.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.