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Finding the Third Proportional to 305,613 and 664,359

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Solution

The third proportional to 305,613 and 664,359 is: 1,444,221.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,613 : 664,359 = 664,359 : x
  2. Step 2: Convert to fraction form
    305,613/664,359 = 664,359/x
  3. Step 3: Cross multiply
    305,613x = 664,359 × 664,359
  4. Step 4: Simplify right side
    305,613x = 441,372,880,881
  5. Step 5: Solve for x
    x = 441,372,880,881/305,613
  6. Step 6: Final answer
    x = 1,444,221.55

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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.