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Finding the Third Proportional to 131,782,032 and 192,822,034.50

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Solution

The third proportional to 131,782,032 and 192,822,034.50 is: 282,135,101.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,782,032 : 192,822,034.50 = 192,822,034.50 : x
  2. Step 2: Convert to fraction form
    131,782,032/192,822,034.50 = 192,822,034.50/x
  3. Step 3: Cross multiply
    131,782,032x = 192,822,034.50 × 192,822,034.50
  4. Step 4: Simplify right side
    131,782,032x = 37,180,336,988,719,192
  5. Step 5: Solve for x
    x = 37,180,336,988,719,192/131,782,032
  6. Step 6: Final answer
    x = 282,135,101.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.