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Finding the Third Proportional to 95,710.50 and 202,365

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Solution

The third proportional to 95,710.50 and 202,365 is: 427,869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,710.50 : 202,365 = 202,365 : x
  2. Step 2: Convert to fraction form
    95,710.50/202,365 = 202,365/x
  3. Step 3: Cross multiply
    95,710.50x = 202,365 × 202,365
  4. Step 4: Simplify right side
    95,710.50x = 40,951,593,225
  5. Step 5: Solve for x
    x = 40,951,593,225/95,710.50
  6. Step 6: Final answer
    x = 427,869.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.