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Finding the Third Proportional to 95,013 and 202,737

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Solution

The third proportional to 95,013 and 202,737 is: 432,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,013 : 202,737 = 202,737 : x
  2. Step 2: Convert to fraction form
    95,013/202,737 = 202,737/x
  3. Step 3: Cross multiply
    95,013x = 202,737 × 202,737
  4. Step 4: Simplify right side
    95,013x = 41,102,291,169
  5. Step 5: Solve for x
    x = 41,102,291,169/95,013
  6. Step 6: Final answer
    x = 432,596.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.