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Finding the Third Proportional to 93,989 and 201,640

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Solution

The third proportional to 93,989 and 201,640 is: 432,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,989 : 201,640 = 201,640 : x
  2. Step 2: Convert to fraction form
    93,989/201,640 = 201,640/x
  3. Step 3: Cross multiply
    93,989x = 201,640 × 201,640
  4. Step 4: Simplify right side
    93,989x = 40,658,689,600
  5. Step 5: Solve for x
    x = 40,658,689,600/93,989
  6. Step 6: Final answer
    x = 432,589.87

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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.