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Finding the Third Proportional to 280,598 and 608,764

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Solution

The third proportional to 280,598 and 608,764 is: 1,320,727.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,598 : 608,764 = 608,764 : x
  2. Step 2: Convert to fraction form
    280,598/608,764 = 608,764/x
  3. Step 3: Cross multiply
    280,598x = 608,764 × 608,764
  4. Step 4: Simplify right side
    280,598x = 370,593,607,696
  5. Step 5: Solve for x
    x = 370,593,607,696/280,598
  6. Step 6: Final answer
    x = 1,320,727.90

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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.