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Finding the Third Proportional to 86,058 and 128,169

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Solution

The third proportional to 86,058 and 128,169 is: 190,886.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,058 : 128,169 = 128,169 : x
  2. Step 2: Convert to fraction form
    86,058/128,169 = 128,169/x
  3. Step 3: Cross multiply
    86,058x = 128,169 × 128,169
  4. Step 4: Simplify right side
    86,058x = 16,427,292,561
  5. Step 5: Solve for x
    x = 16,427,292,561/86,058
  6. Step 6: Final answer
    x = 190,886.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.