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Finding the Third Proportional to 133,630 and 205,484

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Solution

The third proportional to 133,630 and 205,484 is: 315,974.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,630 : 205,484 = 205,484 : x
  2. Step 2: Convert to fraction form
    133,630/205,484 = 205,484/x
  3. Step 3: Cross multiply
    133,630x = 205,484 × 205,484
  4. Step 4: Simplify right side
    133,630x = 42,223,674,256
  5. Step 5: Solve for x
    x = 42,223,674,256/133,630
  6. Step 6: Final answer
    x = 315,974.51

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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.