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Finding the Third Proportional to 280,557 and 605,400

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Solution

The third proportional to 280,557 and 605,400 is: 1,306,362.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,557 : 605,400 = 605,400 : x
  2. Step 2: Convert to fraction form
    280,557/605,400 = 605,400/x
  3. Step 3: Cross multiply
    280,557x = 605,400 × 605,400
  4. Step 4: Simplify right side
    280,557x = 366,509,160,000
  5. Step 5: Solve for x
    x = 366,509,160,000/280,557
  6. Step 6: Final answer
    x = 1,306,362.56

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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.