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Finding the Third Proportional to 291,403 and 634,079

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Solution

The third proportional to 291,403 and 634,079 is: 1,379,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,403 : 634,079 = 634,079 : x
  2. Step 2: Convert to fraction form
    291,403/634,079 = 634,079/x
  3. Step 3: Cross multiply
    291,403x = 634,079 × 634,079
  4. Step 4: Simplify right side
    291,403x = 402,056,178,241
  5. Step 5: Solve for x
    x = 402,056,178,241/291,403
  6. Step 6: Final answer
    x = 1,379,725.60

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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.