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Finding the Third Proportional to 280,368 and 605,952

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Solution

The third proportional to 280,368 and 605,952 is: 1,309,628.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,368 : 605,952 = 605,952 : x
  2. Step 2: Convert to fraction form
    280,368/605,952 = 605,952/x
  3. Step 3: Cross multiply
    280,368x = 605,952 × 605,952
  4. Step 4: Simplify right side
    280,368x = 367,177,826,304
  5. Step 5: Solve for x
    x = 367,177,826,304/280,368
  6. Step 6: Final answer
    x = 1,309,628.15

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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.