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Finding the Third Proportional to 5,390,469 and 8,141,846.63

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Solution

The third proportional to 5,390,469 and 8,141,846.63 is: 12,297,569.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390,469 : 8,141,846.63 = 8,141,846.63 : x
  2. Step 2: Convert to fraction form
    5,390,469/8,141,846.63 = 8,141,846.63/x
  3. Step 3: Cross multiply
    5,390,469x = 8,141,846.63 × 8,141,846.63
  4. Step 4: Simplify right side
    5,390,469x = 66,289,666,465,023.89
  5. Step 5: Solve for x
    x = 66,289,666,465,023.89/5,390,469
  6. Step 6: Final answer
    x = 12,297,569.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.