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Finding the Third Proportional to 290,592 and 622,656

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Solution

The third proportional to 290,592 and 622,656 is: 1,334,174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,592 : 622,656 = 622,656 : x
  2. Step 2: Convert to fraction form
    290,592/622,656 = 622,656/x
  3. Step 3: Cross multiply
    290,592x = 622,656 × 622,656
  4. Step 4: Simplify right side
    290,592x = 387,700,494,336
  5. Step 5: Solve for x
    x = 387,700,494,336/290,592
  6. Step 6: Final answer
    x = 1,334,174.70

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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.