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Finding the Third Proportional to 450,770 and 697,620

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Solution

The third proportional to 450,770 and 697,620 is: 1,079,649.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,770 : 697,620 = 697,620 : x
  2. Step 2: Convert to fraction form
    450,770/697,620 = 697,620/x
  3. Step 3: Cross multiply
    450,770x = 697,620 × 697,620
  4. Step 4: Simplify right side
    450,770x = 486,673,664,400
  5. Step 5: Solve for x
    x = 486,673,664,400/450,770
  6. Step 6: Final answer
    x = 1,079,649.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.