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Finding the Third Proportional to 123,033 and 192,752

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Solution

The third proportional to 123,033 and 192,752 is: 301,978.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,033 : 192,752 = 192,752 : x
  2. Step 2: Convert to fraction form
    123,033/192,752 = 192,752/x
  3. Step 3: Cross multiply
    123,033x = 192,752 × 192,752
  4. Step 4: Simplify right side
    123,033x = 37,153,333,504
  5. Step 5: Solve for x
    x = 37,153,333,504/123,033
  6. Step 6: Final answer
    x = 301,978.60

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