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Finding the Third Proportional to 131,770 and 289,782

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Solution

The third proportional to 131,770 and 289,782 is: 637,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,770 : 289,782 = 289,782 : x
  2. Step 2: Convert to fraction form
    131,770/289,782 = 289,782/x
  3. Step 3: Cross multiply
    131,770x = 289,782 × 289,782
  4. Step 4: Simplify right side
    131,770x = 83,973,607,524
  5. Step 5: Solve for x
    x = 83,973,607,524/131,770
  6. Step 6: Final answer
    x = 637,274.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.