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Finding the Third Proportional to 308,853 and 666,909

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Solution

The third proportional to 308,853 and 666,909 is: 1,440,062.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,853 : 666,909 = 666,909 : x
  2. Step 2: Convert to fraction form
    308,853/666,909 = 666,909/x
  3. Step 3: Cross multiply
    308,853x = 666,909 × 666,909
  4. Step 4: Simplify right side
    308,853x = 444,767,614,281
  5. Step 5: Solve for x
    x = 444,767,614,281/308,853
  6. Step 6: Final answer
    x = 1,440,062.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.