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Finding the Third Proportional to 8,659,184 and 18,705,904

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Solution

The third proportional to 8,659,184 and 18,705,904 is: 40,409,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,659,184 : 18,705,904 = 18,705,904 : x
  2. Step 2: Convert to fraction form
    8,659,184/18,705,904 = 18,705,904/x
  3. Step 3: Cross multiply
    8,659,184x = 18,705,904 × 18,705,904
  4. Step 4: Simplify right side
    8,659,184x = 349,910,844,457,216
  5. Step 5: Solve for x
    x = 349,910,844,457,216/8,659,184
  6. Step 6: Final answer
    x = 40,409,216.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.