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Finding the Third Proportional to 5,259,605 and 7,868,427

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Solution

The third proportional to 5,259,605 and 7,868,427 is: 11,771,253.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259,605 : 7,868,427 = 7,868,427 : x
  2. Step 2: Convert to fraction form
    5,259,605/7,868,427 = 7,868,427/x
  3. Step 3: Cross multiply
    5,259,605x = 7,868,427 × 7,868,427
  4. Step 4: Simplify right side
    5,259,605x = 61,912,143,454,329
  5. Step 5: Solve for x
    x = 61,912,143,454,329/5,259,605
  6. Step 6: Final answer
    x = 11,771,253.44

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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.