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Finding the Third Proportional to 274,515,120 and 418,204,809

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Solution

The third proportional to 274,515,120 and 418,204,809 is: 637,106,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,515,120 : 418,204,809 = 418,204,809 : x
  2. Step 2: Convert to fraction form
    274,515,120/418,204,809 = 418,204,809/x
  3. Step 3: Cross multiply
    274,515,120x = 418,204,809 × 418,204,809
  4. Step 4: Simplify right side
    274,515,120x = 174,895,262,270,726,496
  5. Step 5: Solve for x
    x = 174,895,262,270,726,496/274,515,120
  6. Step 6: Final answer
    x = 637,106,117.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.