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Finding the Third Proportional to 128,091 and 192,549

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Solution

The third proportional to 128,091 and 192,549 is: 289,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,091 : 192,549 = 192,549 : x
  2. Step 2: Convert to fraction form
    128,091/192,549 = 192,549/x
  3. Step 3: Cross multiply
    128,091x = 192,549 × 192,549
  4. Step 4: Simplify right side
    128,091x = 37,075,117,401
  5. Step 5: Solve for x
    x = 37,075,117,401/128,091
  6. Step 6: Final answer
    x = 289,443.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.