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Finding the Third Proportional to 442,541,504 and 639,341,016

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Solution

The third proportional to 442,541,504 and 639,341,016 is: 923,657,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,541,504 : 639,341,016 = 639,341,016 : x
  2. Step 2: Convert to fraction form
    442,541,504/639,341,016 = 639,341,016/x
  3. Step 3: Cross multiply
    442,541,504x = 639,341,016 × 639,341,016
  4. Step 4: Simplify right side
    442,541,504x = 408,756,934,739,912,256
  5. Step 5: Solve for x
    x = 408,756,934,739,912,256/442,541,504
  6. Step 6: Final answer
    x = 923,657,851.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.