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Finding the Third Proportional to 5,389,849 and 8,140,935

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Solution

The third proportional to 5,389,849 and 8,140,935 is: 12,296,229.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389,849 : 8,140,935 = 8,140,935 : x
  2. Step 2: Convert to fraction form
    5,389,849/8,140,935 = 8,140,935/x
  3. Step 3: Cross multiply
    5,389,849x = 8,140,935 × 8,140,935
  4. Step 4: Simplify right side
    5,389,849x = 66,274,822,674,225
  5. Step 5: Solve for x
    x = 66,274,822,674,225/5,389,849
  6. Step 6: Final answer
    x = 12,296,229.95

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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.