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Finding the Third Proportional to 354,464 and 777,824

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Solution

The third proportional to 354,464 and 777,824 is: 1,706,831.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,464 : 777,824 = 777,824 : x
  2. Step 2: Convert to fraction form
    354,464/777,824 = 777,824/x
  3. Step 3: Cross multiply
    354,464x = 777,824 × 777,824
  4. Step 4: Simplify right side
    354,464x = 605,010,174,976
  5. Step 5: Solve for x
    x = 605,010,174,976/354,464
  6. Step 6: Final answer
    x = 1,706,831.09

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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.