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Finding the Third Proportional to 93,896 and 202,537

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Solution

The third proportional to 93,896 and 202,537 is: 436,879.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,896 : 202,537 = 202,537 : x
  2. Step 2: Convert to fraction form
    93,896/202,537 = 202,537/x
  3. Step 3: Cross multiply
    93,896x = 202,537 × 202,537
  4. Step 4: Simplify right side
    93,896x = 41,021,236,369
  5. Step 5: Solve for x
    x = 41,021,236,369/93,896
  6. Step 6: Final answer
    x = 436,879.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.