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Finding the Third Proportional to 280,374 and 616,797

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Solution

The third proportional to 280,374 and 616,797 is: 1,356,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,374 : 616,797 = 616,797 : x
  2. Step 2: Convert to fraction form
    280,374/616,797 = 616,797/x
  3. Step 3: Cross multiply
    280,374x = 616,797 × 616,797
  4. Step 4: Simplify right side
    280,374x = 380,438,539,209
  5. Step 5: Solve for x
    x = 380,438,539,209/280,374
  6. Step 6: Final answer
    x = 1,356,896.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.