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Finding the Third Proportional to 10,531,715 and 15,728,075

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Solution

The third proportional to 10,531,715 and 15,728,075 is: 23,488,324.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531,715 : 15,728,075 = 15,728,075 : x
  2. Step 2: Convert to fraction form
    10,531,715/15,728,075 = 15,728,075/x
  3. Step 3: Cross multiply
    10,531,715x = 15,728,075 × 15,728,075
  4. Step 4: Simplify right side
    10,531,715x = 247,372,343,205,625
  5. Step 5: Solve for x
    x = 247,372,343,205,625/10,531,715
  6. Step 6: Final answer
    x = 23,488,324.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.