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Finding the Third Proportional to 85,269,878 and 187,541,982

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Solution

The third proportional to 85,269,878 and 187,541,982 is: 412,478,542.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,269,878 : 187,541,982 = 187,541,982 : x
  2. Step 2: Convert to fraction form
    85,269,878/187,541,982 = 187,541,982/x
  3. Step 3: Cross multiply
    85,269,878x = 187,541,982 × 187,541,982
  4. Step 4: Simplify right side
    85,269,878x = 35,171,995,012,488,324
  5. Step 5: Solve for x
    x = 35,171,995,012,488,324/85,269,878
  6. Step 6: Final answer
    x = 412,478,542.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.