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Finding the Third Proportional to 86,196 and 128,772

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Solution

The third proportional to 86,196 and 128,772 is: 192,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,196 : 128,772 = 128,772 : x
  2. Step 2: Convert to fraction form
    86,196/128,772 = 128,772/x
  3. Step 3: Cross multiply
    86,196x = 128,772 × 128,772
  4. Step 4: Simplify right side
    86,196x = 16,582,227,984
  5. Step 5: Solve for x
    x = 16,582,227,984/86,196
  6. Step 6: Final answer
    x = 192,378.16

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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.