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Finding the Third Proportional to 220,020 and 343,179

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Solution

The third proportional to 220,020 and 343,179 is: 535,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,020 : 343,179 = 343,179 : x
  2. Step 2: Convert to fraction form
    220,020/343,179 = 343,179/x
  3. Step 3: Cross multiply
    220,020x = 343,179 × 343,179
  4. Step 4: Simplify right side
    220,020x = 117,771,826,041
  5. Step 5: Solve for x
    x = 117,771,826,041/220,020
  6. Step 6: Final answer
    x = 535,277.82

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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.