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Finding the Third Proportional to 605,201 and 890,278

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Solution

The third proportional to 605,201 and 890,278 is: 1,309,639.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,201 : 890,278 = 890,278 : x
  2. Step 2: Convert to fraction form
    605,201/890,278 = 890,278/x
  3. Step 3: Cross multiply
    605,201x = 890,278 × 890,278
  4. Step 4: Simplify right side
    605,201x = 792,594,917,284
  5. Step 5: Solve for x
    x = 792,594,917,284/605,201
  6. Step 6: Final answer
    x = 1,309,639.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.