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Finding the Third Proportional to 136,440 and 210,492

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Solution

The third proportional to 136,440 and 210,492 is: 324,735.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,440 : 210,492 = 210,492 : x
  2. Step 2: Convert to fraction form
    136,440/210,492 = 210,492/x
  3. Step 3: Cross multiply
    136,440x = 210,492 × 210,492
  4. Step 4: Simplify right side
    136,440x = 44,306,882,064
  5. Step 5: Solve for x
    x = 44,306,882,064/136,440
  6. Step 6: Final answer
    x = 324,735.28

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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.