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Finding the Third Proportional to 86,250 and 128,844

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Solution

The third proportional to 86,250 and 128,844 is: 192,472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,250 : 128,844 = 128,844 : x
  2. Step 2: Convert to fraction form
    86,250/128,844 = 128,844/x
  3. Step 3: Cross multiply
    86,250x = 128,844 × 128,844
  4. Step 4: Simplify right side
    86,250x = 16,600,776,336
  5. Step 5: Solve for x
    x = 16,600,776,336/86,250
  6. Step 6: Final answer
    x = 192,472.77

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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.