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Finding the Third Proportional to 622,915 and 890,767

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Solution

The third proportional to 622,915 and 890,767 is: 1,273,794.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,915 : 890,767 = 890,767 : x
  2. Step 2: Convert to fraction form
    622,915/890,767 = 890,767/x
  3. Step 3: Cross multiply
    622,915x = 890,767 × 890,767
  4. Step 4: Simplify right side
    622,915x = 793,465,848,289
  5. Step 5: Solve for x
    x = 793,465,848,289/622,915
  6. Step 6: Final answer
    x = 1,273,794.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.