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Finding the Third Proportional to 280,424 and 611,598

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Solution

The third proportional to 280,424 and 611,598 is: 1,333,880.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,424 : 611,598 = 611,598 : x
  2. Step 2: Convert to fraction form
    280,424/611,598 = 611,598/x
  3. Step 3: Cross multiply
    280,424x = 611,598 × 611,598
  4. Step 4: Simplify right side
    280,424x = 374,052,113,604
  5. Step 5: Solve for x
    x = 374,052,113,604/280,424
  6. Step 6: Final answer
    x = 1,333,880.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.