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Finding the Third Proportional to 5,578,742.11 and 8,620,578.77

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Solution

The third proportional to 5,578,742.11 and 8,620,578.77 is: 13,320,991.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578,742.11 : 8,620,578.77 = 8,620,578.77 : x
  2. Step 2: Convert to fraction form
    5,578,742.11/8,620,578.77 = 8,620,578.77/x
  3. Step 3: Cross multiply
    5,578,742.11x = 8,620,578.77 × 8,620,578.77
  4. Step 4: Simplify right side
    5,578,742.11x = 74,314,378,389,041.19
  5. Step 5: Solve for x
    x = 74,314,378,389,041.19/5,578,742.11
  6. Step 6: Final answer
    x = 13,320,991.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.