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Finding the Third Proportional to 144,078 and 211,446

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Solution

The third proportional to 144,078 and 211,446 is: 310,313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,078 : 211,446 = 211,446 : x
  2. Step 2: Convert to fraction form
    144,078/211,446 = 211,446/x
  3. Step 3: Cross multiply
    144,078x = 211,446 × 211,446
  4. Step 4: Simplify right side
    144,078x = 44,709,410,916
  5. Step 5: Solve for x
    x = 44,709,410,916/144,078
  6. Step 6: Final answer
    x = 310,313.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.