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Finding the Third Proportional to 18,992,478 and 38,656,162.50

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Solution

The third proportional to 18,992,478 and 38,656,162.50 is: 78,678,458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,992,478 : 38,656,162.50 = 38,656,162.50 : x
  2. Step 2: Convert to fraction form
    18,992,478/38,656,162.50 = 38,656,162.50/x
  3. Step 3: Cross multiply
    18,992,478x = 38,656,162.50 × 38,656,162.50
  4. Step 4: Simplify right side
    18,992,478x = 1,494,298,899,226,406.25
  5. Step 5: Solve for x
    x = 1,494,298,899,226,406.25/18,992,478
  6. Step 6: Final answer
    x = 78,678,458.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.