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Finding the Third Proportional to 92,044,309.50 and 204,519,991.50

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Solution

The third proportional to 92,044,309.50 and 204,519,991.50 is: 454,437,945.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,044,309.50 : 204,519,991.50 = 204,519,991.50 : x
  2. Step 2: Convert to fraction form
    92,044,309.50/204,519,991.50 = 204,519,991.50/x
  3. Step 3: Cross multiply
    92,044,309.50x = 204,519,991.50 × 204,519,991.50
  4. Step 4: Simplify right side
    92,044,309.50x = 41,828,426,923,160,072
  5. Step 5: Solve for x
    x = 41,828,426,923,160,072/92,044,309.50
  6. Step 6: Final answer
    x = 454,437,945.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.