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Finding the Third Proportional to 122,487 and 192,479

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Solution

The third proportional to 122,487 and 192,479 is: 302,466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,487 : 192,479 = 192,479 : x
  2. Step 2: Convert to fraction form
    122,487/192,479 = 192,479/x
  3. Step 3: Cross multiply
    122,487x = 192,479 × 192,479
  4. Step 4: Simplify right side
    122,487x = 37,048,165,441
  5. Step 5: Solve for x
    x = 37,048,165,441/122,487
  6. Step 6: Final answer
    x = 302,466.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.