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Finding the Third Proportional to 93,177 and 124,141.50

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Solution

The third proportional to 93,177 and 124,141.50 is: 165,396.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,177 : 124,141.50 = 124,141.50 : x
  2. Step 2: Convert to fraction form
    93,177/124,141.50 = 124,141.50/x
  3. Step 3: Cross multiply
    93,177x = 124,141.50 × 124,141.50
  4. Step 4: Simplify right side
    93,177x = 15,411,112,022.25
  5. Step 5: Solve for x
    x = 15,411,112,022.25/93,177
  6. Step 6: Final answer
    x = 165,396.10

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.