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Finding the Third Proportional to 417,903 and 626,850

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Solution

The third proportional to 417,903 and 626,850 is: 940,268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,903 : 626,850 = 626,850 : x
  2. Step 2: Convert to fraction form
    417,903/626,850 = 626,850/x
  3. Step 3: Cross multiply
    417,903x = 626,850 × 626,850
  4. Step 4: Simplify right side
    417,903x = 392,940,922,500
  5. Step 5: Solve for x
    x = 392,940,922,500/417,903
  6. Step 6: Final answer
    x = 940,268.25

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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.