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Finding the Third Proportional to 291,393 and 634,059

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Solution

The third proportional to 291,393 and 634,059 is: 1,379,685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,393 : 634,059 = 634,059 : x
  2. Step 2: Convert to fraction form
    291,393/634,059 = 634,059/x
  3. Step 3: Cross multiply
    291,393x = 634,059 × 634,059
  4. Step 4: Simplify right side
    291,393x = 402,030,815,481
  5. Step 5: Solve for x
    x = 402,030,815,481/291,393
  6. Step 6: Final answer
    x = 1,379,685.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.