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Finding the Third Proportional to 402,122.25 and 622,077.75

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Solution

The third proportional to 402,122.25 and 622,077.75 is: 962,345.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,122.25 : 622,077.75 = 622,077.75 : x
  2. Step 2: Convert to fraction form
    402,122.25/622,077.75 = 622,077.75/x
  3. Step 3: Cross multiply
    402,122.25x = 622,077.75 × 622,077.75
  4. Step 4: Simplify right side
    402,122.25x = 386,980,727,045.06
  5. Step 5: Solve for x
    x = 386,980,727,045.06/402,122.25
  6. Step 6: Final answer
    x = 962,345.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.