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Finding the Third Proportional to 206,053 and 427,890

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Solution

The third proportional to 206,053 and 427,890 is: 888,557.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,053 : 427,890 = 427,890 : x
  2. Step 2: Convert to fraction form
    206,053/427,890 = 427,890/x
  3. Step 3: Cross multiply
    206,053x = 427,890 × 427,890
  4. Step 4: Simplify right side
    206,053x = 183,089,852,100
  5. Step 5: Solve for x
    x = 183,089,852,100/206,053
  6. Step 6: Final answer
    x = 888,557.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.