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Finding the Third Proportional to 488,514 and 697,293

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Solution

The third proportional to 488,514 and 697,293 is: 995,299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,514 : 697,293 = 697,293 : x
  2. Step 2: Convert to fraction form
    488,514/697,293 = 697,293/x
  3. Step 3: Cross multiply
    488,514x = 697,293 × 697,293
  4. Step 4: Simplify right side
    488,514x = 486,217,527,849
  5. Step 5: Solve for x
    x = 486,217,527,849/488,514
  6. Step 6: Final answer
    x = 995,299.07

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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.