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Finding the Third Proportional to 86,088 and 128,208

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Solution

The third proportional to 86,088 and 128,208 is: 190,935.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,088 : 128,208 = 128,208 : x
  2. Step 2: Convert to fraction form
    86,088/128,208 = 128,208/x
  3. Step 3: Cross multiply
    86,088x = 128,208 × 128,208
  4. Step 4: Simplify right side
    86,088x = 16,437,291,264
  5. Step 5: Solve for x
    x = 16,437,291,264/86,088
  6. Step 6: Final answer
    x = 190,935.92

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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.