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Finding the Third Proportional to 131,296.50 and 286,356.38

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Solution

The third proportional to 131,296.50 and 286,356.38 is: 624,540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,296.50 : 286,356.38 = 286,356.38 : x
  2. Step 2: Convert to fraction form
    131,296.50/286,356.38 = 286,356.38/x
  3. Step 3: Cross multiply
    131,296.50x = 286,356.38 × 286,356.38
  4. Step 4: Simplify right side
    131,296.50x = 81,999,973,503.14
  5. Step 5: Solve for x
    x = 81,999,973,503.14/131,296.50
  6. Step 6: Final answer
    x = 624,540.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.