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Finding the Third Proportional to 206,587 and 319,222

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Solution

The third proportional to 206,587 and 319,222 is: 493,267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,587 : 319,222 = 319,222 : x
  2. Step 2: Convert to fraction form
    206,587/319,222 = 319,222/x
  3. Step 3: Cross multiply
    206,587x = 319,222 × 319,222
  4. Step 4: Simplify right side
    206,587x = 101,902,685,284
  5. Step 5: Solve for x
    x = 101,902,685,284/206,587
  6. Step 6: Final answer
    x = 493,267.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.