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Finding the Third Proportional to 5,407,015.78 and 8,111,605.78

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Solution

The third proportional to 5,407,015.78 and 8,111,605.78 is: 12,169,032.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407,015.78 : 8,111,605.78 = 8,111,605.78 : x
  2. Step 2: Convert to fraction form
    5,407,015.78/8,111,605.78 = 8,111,605.78/x
  3. Step 3: Cross multiply
    5,407,015.78x = 8,111,605.78 × 8,111,605.78
  4. Step 4: Simplify right side
    5,407,015.78x = 65,798,148,350,408.42
  5. Step 5: Solve for x
    x = 65,798,148,350,408.42/5,407,015.78
  6. Step 6: Final answer
    x = 12,169,032.05

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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.