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Finding the Third Proportional to 131,392 and 288,218

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Solution

The third proportional to 131,392 and 288,218 is: 632,227.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,392 : 288,218 = 288,218 : x
  2. Step 2: Convert to fraction form
    131,392/288,218 = 288,218/x
  3. Step 3: Cross multiply
    131,392x = 288,218 × 288,218
  4. Step 4: Simplify right side
    131,392x = 83,069,615,524
  5. Step 5: Solve for x
    x = 83,069,615,524/131,392
  6. Step 6: Final answer
    x = 632,227.35

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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.