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Finding the Third Proportional to 516,612 and 697,770

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Solution

The third proportional to 516,612 and 697,770 is: 942,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,612 : 697,770 = 697,770 : x
  2. Step 2: Convert to fraction form
    516,612/697,770 = 697,770/x
  3. Step 3: Cross multiply
    516,612x = 697,770 × 697,770
  4. Step 4: Simplify right side
    516,612x = 486,882,972,900
  5. Step 5: Solve for x
    x = 486,882,972,900/516,612
  6. Step 6: Final answer
    x = 942,453.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.