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Finding the Third Proportional to 131,420 and 205,888

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Solution

The third proportional to 131,420 and 205,888 is: 322,552.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,420 : 205,888 = 205,888 : x
  2. Step 2: Convert to fraction form
    131,420/205,888 = 205,888/x
  3. Step 3: Cross multiply
    131,420x = 205,888 × 205,888
  4. Step 4: Simplify right side
    131,420x = 42,389,868,544
  5. Step 5: Solve for x
    x = 42,389,868,544/131,420
  6. Step 6: Final answer
    x = 322,552.64

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Why These Related Problems?

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