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Finding the Third Proportional to 131,396 and 288,228

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Solution

The third proportional to 131,396 and 288,228 is: 632,251.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,396 : 288,228 = 288,228 : x
  2. Step 2: Convert to fraction form
    131,396/288,228 = 288,228/x
  3. Step 3: Cross multiply
    131,396x = 288,228 × 288,228
  4. Step 4: Simplify right side
    131,396x = 83,075,379,984
  5. Step 5: Solve for x
    x = 83,075,379,984/131,396
  6. Step 6: Final answer
    x = 632,251.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.