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Finding the Third Proportional to 354,514 and 777,909

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Solution

The third proportional to 354,514 and 777,909 is: 1,706,963.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,514 : 777,909 = 777,909 : x
  2. Step 2: Convert to fraction form
    354,514/777,909 = 777,909/x
  3. Step 3: Cross multiply
    354,514x = 777,909 × 777,909
  4. Step 4: Simplify right side
    354,514x = 605,142,412,281
  5. Step 5: Solve for x
    x = 605,142,412,281/354,514
  6. Step 6: Final answer
    x = 1,706,963.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.