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Finding the Third Proportional to 360,211 and 776,285

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Solution

The third proportional to 360,211 and 776,285 is: 1,672,959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,211 : 776,285 = 776,285 : x
  2. Step 2: Convert to fraction form
    360,211/776,285 = 776,285/x
  3. Step 3: Cross multiply
    360,211x = 776,285 × 776,285
  4. Step 4: Simplify right side
    360,211x = 602,618,401,225
  5. Step 5: Solve for x
    x = 602,618,401,225/360,211
  6. Step 6: Final answer
    x = 1,672,959.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.