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Finding the Third Proportional to 247,636 and 578,620

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Solution

The third proportional to 247,636 and 578,620 is: 1,351,988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,636 : 578,620 = 578,620 : x
  2. Step 2: Convert to fraction form
    247,636/578,620 = 578,620/x
  3. Step 3: Cross multiply
    247,636x = 578,620 × 578,620
  4. Step 4: Simplify right side
    247,636x = 334,801,104,400
  5. Step 5: Solve for x
    x = 334,801,104,400/247,636
  6. Step 6: Final answer
    x = 1,351,988.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.