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Finding the Third Proportional to 280,485 and 608,526

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Solution

The third proportional to 280,485 and 608,526 is: 1,320,227.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,485 : 608,526 = 608,526 : x
  2. Step 2: Convert to fraction form
    280,485/608,526 = 608,526/x
  3. Step 3: Cross multiply
    280,485x = 608,526 × 608,526
  4. Step 4: Simplify right side
    280,485x = 370,303,892,676
  5. Step 5: Solve for x
    x = 370,303,892,676/280,485
  6. Step 6: Final answer
    x = 1,320,227.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.