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Finding the Third Proportional to 305,613 and 663,770.25

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Solution

The third proportional to 305,613 and 663,770.25 is: 1,441,662.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,613 : 663,770.25 = 663,770.25 : x
  2. Step 2: Convert to fraction form
    305,613/663,770.25 = 663,770.25/x
  3. Step 3: Cross multiply
    305,613x = 663,770.25 × 663,770.25
  4. Step 4: Simplify right side
    305,613x = 440,590,944,785.06
  5. Step 5: Solve for x
    x = 440,590,944,785.06/305,613
  6. Step 6: Final answer
    x = 1,441,662.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.