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Finding the Third Proportional to 415,070 and 622,610

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Solution

The third proportional to 415,070 and 622,610 is: 933,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,070 : 622,610 = 622,610 : x
  2. Step 2: Convert to fraction form
    415,070/622,610 = 622,610/x
  3. Step 3: Cross multiply
    415,070x = 622,610 × 622,610
  4. Step 4: Simplify right side
    415,070x = 387,643,212,100
  5. Step 5: Solve for x
    x = 387,643,212,100/415,070
  6. Step 6: Final answer
    x = 933,922.50

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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.