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Finding the Third Proportional to 206,420.91 and 319,024.83

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Solution

The third proportional to 206,420.91 and 319,024.83 is: 493,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,420.91 : 319,024.83 = 319,024.83 : x
  2. Step 2: Convert to fraction form
    206,420.91/319,024.83 = 319,024.83/x
  3. Step 3: Cross multiply
    206,420.91x = 319,024.83 × 319,024.83
  4. Step 4: Simplify right side
    206,420.91x = 101,776,840,960.19
  5. Step 5: Solve for x
    x = 101,776,840,960.19/206,420.91
  6. Step 6: Final answer
    x = 493,054.91

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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.