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Finding the Third Proportional to 106,533 and 159,066

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Solution

The third proportional to 106,533 and 159,066 is: 237,503.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,533 : 159,066 = 159,066 : x
  2. Step 2: Convert to fraction form
    106,533/159,066 = 159,066/x
  3. Step 3: Cross multiply
    106,533x = 159,066 × 159,066
  4. Step 4: Simplify right side
    106,533x = 25,301,992,356
  5. Step 5: Solve for x
    x = 25,301,992,356/106,533
  6. Step 6: Final answer
    x = 237,503.80

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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.