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Finding the Third Proportional to 280,724 and 613,934

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Solution

The third proportional to 280,724 and 613,934 is: 1,342,653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,724 : 613,934 = 613,934 : x
  2. Step 2: Convert to fraction form
    280,724/613,934 = 613,934/x
  3. Step 3: Cross multiply
    280,724x = 613,934 × 613,934
  4. Step 4: Simplify right side
    280,724x = 376,914,956,356
  5. Step 5: Solve for x
    x = 376,914,956,356/280,724
  6. Step 6: Final answer
    x = 1,342,653.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.