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Finding the Third Proportional to 280,059 and 418,260

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Solution

The third proportional to 280,059 and 418,260 is: 624,659.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,059 : 418,260 = 418,260 : x
  2. Step 2: Convert to fraction form
    280,059/418,260 = 418,260/x
  3. Step 3: Cross multiply
    280,059x = 418,260 × 418,260
  4. Step 4: Simplify right side
    280,059x = 174,941,427,600
  5. Step 5: Solve for x
    x = 174,941,427,600/280,059
  6. Step 6: Final answer
    x = 624,659.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.