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Finding the Third Proportional to 291,968 and 426,470

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Solution

The third proportional to 291,968 and 426,470 is: 622,933.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,968 : 426,470 = 426,470 : x
  2. Step 2: Convert to fraction form
    291,968/426,470 = 426,470/x
  3. Step 3: Cross multiply
    291,968x = 426,470 × 426,470
  4. Step 4: Simplify right side
    291,968x = 181,876,660,900
  5. Step 5: Solve for x
    x = 181,876,660,900/291,968
  6. Step 6: Final answer
    x = 622,933.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.