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Finding the Third Proportional to 204,553,771.50 and 447,370,566

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Solution

The third proportional to 204,553,771.50 and 447,370,566 is: 978,424,508.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,553,771.50 : 447,370,566 = 447,370,566 : x
  2. Step 2: Convert to fraction form
    204,553,771.50/447,370,566 = 447,370,566/x
  3. Step 3: Cross multiply
    204,553,771.50x = 447,370,566 × 447,370,566
  4. Step 4: Simplify right side
    204,553,771.50x = 200,140,423,323,160,352
  5. Step 5: Solve for x
    x = 200,140,423,323,160,352/204,553,771.50
  6. Step 6: Final answer
    x = 978,424,508.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.