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Finding the Third Proportional to 290,391.47 and 622,820.11

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Solution

The third proportional to 290,391.47 and 622,820.11 is: 1,335,799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,391.47 : 622,820.11 = 622,820.11 : x
  2. Step 2: Convert to fraction form
    290,391.47/622,820.11 = 622,820.11/x
  3. Step 3: Cross multiply
    290,391.47x = 622,820.11 × 622,820.11
  4. Step 4: Simplify right side
    290,391.47x = 387,904,888,641.89
  5. Step 5: Solve for x
    x = 387,904,888,641.89/290,391.47
  6. Step 6: Final answer
    x = 1,335,799.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.