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Finding the Third Proportional to 488,508 and 697,284

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Solution

The third proportional to 488,508 and 697,284 is: 995,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,508 : 697,284 = 697,284 : x
  2. Step 2: Convert to fraction form
    488,508/697,284 = 697,284/x
  3. Step 3: Cross multiply
    488,508x = 697,284 × 697,284
  4. Step 4: Simplify right side
    488,508x = 486,204,976,656
  5. Step 5: Solve for x
    x = 486,204,976,656/488,508
  6. Step 6: Final answer
    x = 995,285.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.