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Finding the Third Proportional to 280,838 and 608,967

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Solution

The third proportional to 280,838 and 608,967 is: 1,320,479.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,838 : 608,967 = 608,967 : x
  2. Step 2: Convert to fraction form
    280,838/608,967 = 608,967/x
  3. Step 3: Cross multiply
    280,838x = 608,967 × 608,967
  4. Step 4: Simplify right side
    280,838x = 370,840,807,089
  5. Step 5: Solve for x
    x = 370,840,807,089/280,838
  6. Step 6: Final answer
    x = 1,320,479.45

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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.