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Finding the Third Proportional to 290,594 and 622,660

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Solution

The third proportional to 290,594 and 622,660 is: 1,334,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,594 : 622,660 = 622,660 : x
  2. Step 2: Convert to fraction form
    290,594/622,660 = 622,660/x
  3. Step 3: Cross multiply
    290,594x = 622,660 × 622,660
  4. Step 4: Simplify right side
    290,594x = 387,705,475,600
  5. Step 5: Solve for x
    x = 387,705,475,600/290,594
  6. Step 6: Final answer
    x = 1,334,182.66

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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.