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Finding the Third Proportional to 93,471 and 202,717.50

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Solution

The third proportional to 93,471 and 202,717.50 is: 439,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,471 : 202,717.50 = 202,717.50 : x
  2. Step 2: Convert to fraction form
    93,471/202,717.50 = 202,717.50/x
  3. Step 3: Cross multiply
    93,471x = 202,717.50 × 202,717.50
  4. Step 4: Simplify right side
    93,471x = 41,094,384,806.25
  5. Step 5: Solve for x
    x = 41,094,384,806.25/93,471
  6. Step 6: Final answer
    x = 439,648.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.