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Finding the Third Proportional to 280,748 and 613,976

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Solution

The third proportional to 280,748 and 613,976 is: 1,342,722.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,748 : 613,976 = 613,976 : x
  2. Step 2: Convert to fraction form
    280,748/613,976 = 613,976/x
  3. Step 3: Cross multiply
    280,748x = 613,976 × 613,976
  4. Step 4: Simplify right side
    280,748x = 376,966,528,576
  5. Step 5: Solve for x
    x = 376,966,528,576/280,748
  6. Step 6: Final answer
    x = 1,342,722.04

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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.