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Finding the Third Proportional to 291,990 and 628,959

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Solution

The third proportional to 291,990 and 628,959 is: 1,354,804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,990 : 628,959 = 628,959 : x
  2. Step 2: Convert to fraction form
    291,990/628,959 = 628,959/x
  3. Step 3: Cross multiply
    291,990x = 628,959 × 628,959
  4. Step 4: Simplify right side
    291,990x = 395,589,423,681
  5. Step 5: Solve for x
    x = 395,589,423,681/291,990
  6. Step 6: Final answer
    x = 1,354,804.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.