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Finding the Third Proportional to 152,138 and 324,638

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Solution

The third proportional to 152,138 and 324,638 is: 692,725.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,138 : 324,638 = 324,638 : x
  2. Step 2: Convert to fraction form
    152,138/324,638 = 324,638/x
  3. Step 3: Cross multiply
    152,138x = 324,638 × 324,638
  4. Step 4: Simplify right side
    152,138x = 105,389,831,044
  5. Step 5: Solve for x
    x = 105,389,831,044/152,138
  6. Step 6: Final answer
    x = 692,725.23

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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.