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Finding the Third Proportional to 361,356 and 778,221

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Solution

The third proportional to 361,356 and 778,221 is: 1,675,986.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,356 : 778,221 = 778,221 : x
  2. Step 2: Convert to fraction form
    361,356/778,221 = 778,221/x
  3. Step 3: Cross multiply
    361,356x = 778,221 × 778,221
  4. Step 4: Simplify right side
    361,356x = 605,627,924,841
  5. Step 5: Solve for x
    x = 605,627,924,841/361,356
  6. Step 6: Final answer
    x = 1,675,986.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.