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Finding the Third Proportional to 62,240 and 134,128

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Solution

The third proportional to 62,240 and 134,128 is: 289,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,240 : 134,128 = 134,128 : x
  2. Step 2: Convert to fraction form
    62,240/134,128 = 134,128/x
  3. Step 3: Cross multiply
    62,240x = 134,128 × 134,128
  4. Step 4: Simplify right side
    62,240x = 17,990,320,384
  5. Step 5: Solve for x
    x = 17,990,320,384/62,240
  6. Step 6: Final answer
    x = 289,047.56

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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.