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Finding the Third Proportional to 148,220 and 324,688

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Solution

The third proportional to 148,220 and 324,688 is: 711,255.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,220 : 324,688 = 324,688 : x
  2. Step 2: Convert to fraction form
    148,220/324,688 = 324,688/x
  3. Step 3: Cross multiply
    148,220x = 324,688 × 324,688
  4. Step 4: Simplify right side
    148,220x = 105,422,297,344
  5. Step 5: Solve for x
    x = 105,422,297,344/148,220
  6. Step 6: Final answer
    x = 711,255.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.