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Finding the Third Proportional to 86,028 and 126,511

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Solution

The third proportional to 86,028 and 126,511 is: 186,044.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,028 : 126,511 = 126,511 : x
  2. Step 2: Convert to fraction form
    86,028/126,511 = 126,511/x
  3. Step 3: Cross multiply
    86,028x = 126,511 × 126,511
  4. Step 4: Simplify right side
    86,028x = 16,005,033,121
  5. Step 5: Solve for x
    x = 16,005,033,121/86,028
  6. Step 6: Final answer
    x = 186,044.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.