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Finding the Third Proportional to 417,899 and 626,844

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Solution

The third proportional to 417,899 and 626,844 is: 940,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,899 : 626,844 = 626,844 : x
  2. Step 2: Convert to fraction form
    417,899/626,844 = 626,844/x
  3. Step 3: Cross multiply
    417,899x = 626,844 × 626,844
  4. Step 4: Simplify right side
    417,899x = 392,933,400,336
  5. Step 5: Solve for x
    x = 392,933,400,336/417,899
  6. Step 6: Final answer
    x = 940,259.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.