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Finding the Third Proportional to 144,621 and 221,853

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Solution

The third proportional to 144,621 and 221,853 is: 340,329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,621 : 221,853 = 221,853 : x
  2. Step 2: Convert to fraction form
    144,621/221,853 = 221,853/x
  3. Step 3: Cross multiply
    144,621x = 221,853 × 221,853
  4. Step 4: Simplify right side
    144,621x = 49,218,753,609
  5. Step 5: Solve for x
    x = 49,218,753,609/144,621
  6. Step 6: Final answer
    x = 340,329.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.