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Finding the Third Proportional to 128,776 and 192,424

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Solution

The third proportional to 128,776 and 192,424 is: 287,530.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,776 : 192,424 = 192,424 : x
  2. Step 2: Convert to fraction form
    128,776/192,424 = 192,424/x
  3. Step 3: Cross multiply
    128,776x = 192,424 × 192,424
  4. Step 4: Simplify right side
    128,776x = 37,026,995,776
  5. Step 5: Solve for x
    x = 37,026,995,776/128,776
  6. Step 6: Final answer
    x = 287,530.25

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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.