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Finding the Third Proportional to 351,558 and 761,436

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Solution

The third proportional to 351,558 and 761,436 is: 1,649,186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,558 : 761,436 = 761,436 : x
  2. Step 2: Convert to fraction form
    351,558/761,436 = 761,436/x
  3. Step 3: Cross multiply
    351,558x = 761,436 × 761,436
  4. Step 4: Simplify right side
    351,558x = 579,784,782,096
  5. Step 5: Solve for x
    x = 579,784,782,096/351,558
  6. Step 6: Final answer
    x = 1,649,186.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.