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Finding the Third Proportional to 356,976 and 777,924

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Solution

The third proportional to 356,976 and 777,924 is: 1,695,256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,976 : 777,924 = 777,924 : x
  2. Step 2: Convert to fraction form
    356,976/777,924 = 777,924/x
  3. Step 3: Cross multiply
    356,976x = 777,924 × 777,924
  4. Step 4: Simplify right side
    356,976x = 605,165,749,776
  5. Step 5: Solve for x
    x = 605,165,749,776/356,976
  6. Step 6: Final answer
    x = 1,695,256.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.