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Finding the Third Proportional to 288,420 and 625,512

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Solution

The third proportional to 288,420 and 625,512 is: 1,356,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,420 : 625,512 = 625,512 : x
  2. Step 2: Convert to fraction form
    288,420/625,512 = 625,512/x
  3. Step 3: Cross multiply
    288,420x = 625,512 × 625,512
  4. Step 4: Simplify right side
    288,420x = 391,265,262,144
  5. Step 5: Solve for x
    x = 391,265,262,144/288,420
  6. Step 6: Final answer
    x = 1,356,581.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.