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Finding the Third Proportional to 206,432 and 319,040

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Solution

The third proportional to 206,432 and 319,040 is: 493,075.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,432 : 319,040 = 319,040 : x
  2. Step 2: Convert to fraction form
    206,432/319,040 = 319,040/x
  3. Step 3: Cross multiply
    206,432x = 319,040 × 319,040
  4. Step 4: Simplify right side
    206,432x = 101,786,521,600
  5. Step 5: Solve for x
    x = 101,786,521,600/206,432
  6. Step 6: Final answer
    x = 493,075.31

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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.