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Finding the Third Proportional to 206,424 and 319,029.50

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Solution

The third proportional to 206,424 and 319,029.50 is: 493,061.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,424 : 319,029.50 = 319,029.50 : x
  2. Step 2: Convert to fraction form
    206,424/319,029.50 = 319,029.50/x
  3. Step 3: Cross multiply
    206,424x = 319,029.50 × 319,029.50
  4. Step 4: Simplify right side
    206,424x = 101,779,821,870.25
  5. Step 5: Solve for x
    x = 101,779,821,870.25/206,424
  6. Step 6: Final answer
    x = 493,061.96

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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.