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Finding the Third Proportional to 81,638,709.75 and 176,264,553.38

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Solution

The third proportional to 81,638,709.75 and 176,264,553.38 is: 380,569,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,638,709.75 : 176,264,553.38 = 176,264,553.38 : x
  2. Step 2: Convert to fraction form
    81,638,709.75/176,264,553.38 = 176,264,553.38/x
  3. Step 3: Cross multiply
    81,638,709.75x = 176,264,553.38 × 176,264,553.38
  4. Step 4: Simplify right side
    81,638,709.75x = 31,069,192,776,488,224
  5. Step 5: Solve for x
    x = 31,069,192,776,488,224/81,638,709.75
  6. Step 6: Final answer
    x = 380,569,375.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.