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Finding the Third Proportional to 93,892.50 and 201,447

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Solution

The third proportional to 93,892.50 and 201,447 is: 432,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,892.50 : 201,447 = 201,447 : x
  2. Step 2: Convert to fraction form
    93,892.50/201,447 = 201,447/x
  3. Step 3: Cross multiply
    93,892.50x = 201,447 × 201,447
  4. Step 4: Simplify right side
    93,892.50x = 40,580,893,809
  5. Step 5: Solve for x
    x = 40,580,893,809/93,892.50
  6. Step 6: Final answer
    x = 432,205.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.