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Finding the Third Proportional to 65,128 and 133,712

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Solution

The third proportional to 65,128 and 133,712 is: 274,519.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,128 : 133,712 = 133,712 : x
  2. Step 2: Convert to fraction form
    65,128/133,712 = 133,712/x
  3. Step 3: Cross multiply
    65,128x = 133,712 × 133,712
  4. Step 4: Simplify right side
    65,128x = 17,878,898,944
  5. Step 5: Solve for x
    x = 17,878,898,944/65,128
  6. Step 6: Final answer
    x = 274,519.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.