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Finding the Third Proportional to 122,402 and 183,032

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Solution

The third proportional to 122,402 and 183,032 is: 273,694.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,402 : 183,032 = 183,032 : x
  2. Step 2: Convert to fraction form
    122,402/183,032 = 183,032/x
  3. Step 3: Cross multiply
    122,402x = 183,032 × 183,032
  4. Step 4: Simplify right side
    122,402x = 33,500,713,024
  5. Step 5: Solve for x
    x = 33,500,713,024/122,402
  6. Step 6: Final answer
    x = 273,694.16

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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.