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Finding the Third Proportional to 381,994,447.50 and 818,444,989.13

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Solution

The third proportional to 381,994,447.50 and 818,444,989.13 is: 1,753,565,279.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,994,447.50 : 818,444,989.13 = 818,444,989.13 : x
  2. Step 2: Convert to fraction form
    381,994,447.50/818,444,989.13 = 818,444,989.13/x
  3. Step 3: Cross multiply
    381,994,447.50x = 818,444,989.13 × 818,444,989.13
  4. Step 4: Simplify right side
    381,994,447.50x = 669,852,200,223,821,312
  5. Step 5: Solve for x
    x = 669,852,200,223,821,312/381,994,447.50
  6. Step 6: Final answer
    x = 1,753,565,279.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.