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Finding the Third Proportional to 142,620 and 221,818

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Solution

The third proportional to 142,620 and 221,818 is: 344,995.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,620 : 221,818 = 221,818 : x
  2. Step 2: Convert to fraction form
    142,620/221,818 = 221,818/x
  3. Step 3: Cross multiply
    142,620x = 221,818 × 221,818
  4. Step 4: Simplify right side
    142,620x = 49,203,225,124
  5. Step 5: Solve for x
    x = 49,203,225,124/142,620
  6. Step 6: Final answer
    x = 344,995.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.