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Finding the Third Proportional to 488,512 and 697,290

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Solution

The third proportional to 488,512 and 697,290 is: 995,294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,512 : 697,290 = 697,290 : x
  2. Step 2: Convert to fraction form
    488,512/697,290 = 697,290/x
  3. Step 3: Cross multiply
    488,512x = 697,290 × 697,290
  4. Step 4: Simplify right side
    488,512x = 486,213,344,100
  5. Step 5: Solve for x
    x = 486,213,344,100/488,512
  6. Step 6: Final answer
    x = 995,294.58

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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.