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Finding the Third Proportional to 98,962,578 and 204,713,604

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Solution

The third proportional to 98,962,578 and 204,713,604 is: 423,469,765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,962,578 : 204,713,604 = 204,713,604 : x
  2. Step 2: Convert to fraction form
    98,962,578/204,713,604 = 204,713,604/x
  3. Step 3: Cross multiply
    98,962,578x = 204,713,604 × 204,713,604
  4. Step 4: Simplify right side
    98,962,578x = 41,907,659,662,668,816
  5. Step 5: Solve for x
    x = 41,907,659,662,668,816/98,962,578
  6. Step 6: Final answer
    x = 423,469,765.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.