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Finding the Third Proportional to 354,054 and 778,092

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Solution

The third proportional to 354,054 and 778,092 is: 1,709,985.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,054 : 778,092 = 778,092 : x
  2. Step 2: Convert to fraction form
    354,054/778,092 = 778,092/x
  3. Step 3: Cross multiply
    354,054x = 778,092 × 778,092
  4. Step 4: Simplify right side
    354,054x = 605,427,160,464
  5. Step 5: Solve for x
    x = 605,427,160,464/354,054
  6. Step 6: Final answer
    x = 1,709,985.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.