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Finding the Third Proportional to 608,268 and 889,290

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Solution

The third proportional to 608,268 and 889,290 is: 1,300,145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,268 : 889,290 = 889,290 : x
  2. Step 2: Convert to fraction form
    608,268/889,290 = 889,290/x
  3. Step 3: Cross multiply
    608,268x = 889,290 × 889,290
  4. Step 4: Simplify right side
    608,268x = 790,836,704,100
  5. Step 5: Solve for x
    x = 790,836,704,100/608,268
  6. Step 6: Final answer
    x = 1,300,145.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.