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Finding the Third Proportional to 62,140 and 138,324

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Solution

The third proportional to 62,140 and 138,324 is: 307,910.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,140 : 138,324 = 138,324 : x
  2. Step 2: Convert to fraction form
    62,140/138,324 = 138,324/x
  3. Step 3: Cross multiply
    62,140x = 138,324 × 138,324
  4. Step 4: Simplify right side
    62,140x = 19,133,528,976
  5. Step 5: Solve for x
    x = 19,133,528,976/62,140
  6. Step 6: Final answer
    x = 307,910.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.