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Finding the Third Proportional to 289,419 and 625,674

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Solution

The third proportional to 289,419 and 625,674 is: 1,352,599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,419 : 625,674 = 625,674 : x
  2. Step 2: Convert to fraction form
    289,419/625,674 = 625,674/x
  3. Step 3: Cross multiply
    289,419x = 625,674 × 625,674
  4. Step 4: Simplify right side
    289,419x = 391,467,954,276
  5. Step 5: Solve for x
    x = 391,467,954,276/289,419
  6. Step 6: Final answer
    x = 1,352,599.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.