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Finding the Third Proportional to 144,888 and 307,218

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Solution

The third proportional to 144,888 and 307,218 is: 651,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,888 : 307,218 = 307,218 : x
  2. Step 2: Convert to fraction form
    144,888/307,218 = 307,218/x
  3. Step 3: Cross multiply
    144,888x = 307,218 × 307,218
  4. Step 4: Simplify right side
    144,888x = 94,382,899,524
  5. Step 5: Solve for x
    x = 94,382,899,524/144,888
  6. Step 6: Final answer
    x = 651,419.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.