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Finding the Third Proportional to 131,388 and 288,211

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Solution

The third proportional to 131,388 and 288,211 is: 632,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,388 : 288,211 = 288,211 : x
  2. Step 2: Convert to fraction form
    131,388/288,211 = 288,211/x
  3. Step 3: Cross multiply
    131,388x = 288,211 × 288,211
  4. Step 4: Simplify right side
    131,388x = 83,065,580,521
  5. Step 5: Solve for x
    x = 83,065,580,521/131,388
  6. Step 6: Final answer
    x = 632,215.88

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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.