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Finding the Third Proportional to 144,306 and 210,873

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Solution

The third proportional to 144,306 and 210,873 is: 308,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,306 : 210,873 = 210,873 : x
  2. Step 2: Convert to fraction form
    144,306/210,873 = 210,873/x
  3. Step 3: Cross multiply
    144,306x = 210,873 × 210,873
  4. Step 4: Simplify right side
    144,306x = 44,467,422,129
  5. Step 5: Solve for x
    x = 44,467,422,129/144,306
  6. Step 6: Final answer
    x = 308,146.73

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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.