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Finding the Third Proportional to 144,310 and 210,878

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Solution

The third proportional to 144,310 and 210,878 is: 308,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,310 : 210,878 = 210,878 : x
  2. Step 2: Convert to fraction form
    144,310/210,878 = 210,878/x
  3. Step 3: Cross multiply
    144,310x = 210,878 × 210,878
  4. Step 4: Simplify right side
    144,310x = 44,469,530,884
  5. Step 5: Solve for x
    x = 44,469,530,884/144,310
  6. Step 6: Final answer
    x = 308,152.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.