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Finding the Third Proportional to 154,240 and 210,121

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Solution

The third proportional to 154,240 and 210,121 is: 286,247.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,240 : 210,121 = 210,121 : x
  2. Step 2: Convert to fraction form
    154,240/210,121 = 210,121/x
  3. Step 3: Cross multiply
    154,240x = 210,121 × 210,121
  4. Step 4: Simplify right side
    154,240x = 44,150,834,641
  5. Step 5: Solve for x
    x = 44,150,834,641/154,240
  6. Step 6: Final answer
    x = 286,247.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.