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Finding the Third Proportional to 136,454 and 210,512

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Solution

The third proportional to 136,454 and 210,512 is: 324,763.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,454 : 210,512 = 210,512 : x
  2. Step 2: Convert to fraction form
    136,454/210,512 = 210,512/x
  3. Step 3: Cross multiply
    136,454x = 210,512 × 210,512
  4. Step 4: Simplify right side
    136,454x = 44,315,302,144
  5. Step 5: Solve for x
    x = 44,315,302,144/136,454
  6. Step 6: Final answer
    x = 324,763.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.