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Finding the Third Proportional to 100,624,560.75 and 217,405,449

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Solution

The third proportional to 100,624,560.75 and 217,405,449 is: 469,717,620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,624,560.75 : 217,405,449 = 217,405,449 : x
  2. Step 2: Convert to fraction form
    100,624,560.75/217,405,449 = 217,405,449/x
  3. Step 3: Cross multiply
    100,624,560.75x = 217,405,449 × 217,405,449
  4. Step 4: Simplify right side
    100,624,560.75x = 47,265,129,254,891,600
  5. Step 5: Solve for x
    x = 47,265,129,254,891,600/100,624,560.75
  6. Step 6: Final answer
    x = 469,717,620.65

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