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Finding the Third Proportional to 133,632 and 205,487

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Solution

The third proportional to 133,632 and 205,487 is: 315,979.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,632 : 205,487 = 205,487 : x
  2. Step 2: Convert to fraction form
    133,632/205,487 = 205,487/x
  3. Step 3: Cross multiply
    133,632x = 205,487 × 205,487
  4. Step 4: Simplify right side
    133,632x = 42,224,907,169
  5. Step 5: Solve for x
    x = 42,224,907,169/133,632
  6. Step 6: Final answer
    x = 315,979.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.