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Finding the Third Proportional to 415,078 and 622,617

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Solution

The third proportional to 415,078 and 622,617 is: 933,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,078 : 622,617 = 622,617 : x
  2. Step 2: Convert to fraction form
    415,078/622,617 = 622,617/x
  3. Step 3: Cross multiply
    415,078x = 622,617 × 622,617
  4. Step 4: Simplify right side
    415,078x = 387,651,928,689
  5. Step 5: Solve for x
    x = 387,651,928,689/415,078
  6. Step 6: Final answer
    x = 933,925.50

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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.