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Finding the Third Proportional to 406,980 and 622,572

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Solution

The third proportional to 406,980 and 622,572 is: 952,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,980 : 622,572 = 622,572 : x
  2. Step 2: Convert to fraction form
    406,980/622,572 = 622,572/x
  3. Step 3: Cross multiply
    406,980x = 622,572 × 622,572
  4. Step 4: Simplify right side
    406,980x = 387,595,895,184
  5. Step 5: Solve for x
    x = 387,595,895,184/406,980
  6. Step 6: Final answer
    x = 952,370.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.