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Finding the Third Proportional to 85,970,511 and 188,830,269

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Solution

The third proportional to 85,970,511 and 188,830,269 is: 414,756,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,970,511 : 188,830,269 = 188,830,269 : x
  2. Step 2: Convert to fraction form
    85,970,511/188,830,269 = 188,830,269/x
  3. Step 3: Cross multiply
    85,970,511x = 188,830,269 × 188,830,269
  4. Step 4: Simplify right side
    85,970,511x = 35,656,870,490,612,360
  5. Step 5: Solve for x
    x = 35,656,870,490,612,360/85,970,511
  6. Step 6: Final answer
    x = 414,756,991.39

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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.