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Finding the Third Proportional to 46,377,404 and 100,746,104

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Solution

The third proportional to 46,377,404 and 100,746,104 is: 218,851,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,377,404 : 100,746,104 = 100,746,104 : x
  2. Step 2: Convert to fraction form
    46,377,404/100,746,104 = 100,746,104/x
  3. Step 3: Cross multiply
    46,377,404x = 100,746,104 × 100,746,104
  4. Step 4: Simplify right side
    46,377,404x = 10,149,777,471,178,816
  5. Step 5: Solve for x
    x = 10,149,777,471,178,816/46,377,404
  6. Step 6: Final answer
    x = 218,851,781.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.