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Finding the Third Proportional to 169,362 and 361,220

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Solution

The third proportional to 169,362 and 361,220 is: 770,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,362 : 361,220 = 361,220 : x
  2. Step 2: Convert to fraction form
    169,362/361,220 = 361,220/x
  3. Step 3: Cross multiply
    169,362x = 361,220 × 361,220
  4. Step 4: Simplify right side
    169,362x = 130,479,888,400
  5. Step 5: Solve for x
    x = 130,479,888,400/169,362
  6. Step 6: Final answer
    x = 770,420.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.