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Finding the Third Proportional to 310,023.28 and 438,805.69

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Solution

The third proportional to 310,023.28 and 438,805.69 is: 621,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,023.28 : 438,805.69 = 438,805.69 : x
  2. Step 2: Convert to fraction form
    310,023.28/438,805.69 = 438,805.69/x
  3. Step 3: Cross multiply
    310,023.28x = 438,805.69 × 438,805.69
  4. Step 4: Simplify right side
    310,023.28x = 192,550,431,382.35
  5. Step 5: Solve for x
    x = 192,550,431,382.35/310,023.28
  6. Step 6: Final answer
    x = 621,083.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.