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Finding the Third Proportional to 206,420.06 and 431,566.31

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Solution

The third proportional to 206,420.06 and 431,566.31 is: 902,283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,420.06 : 431,566.31 = 431,566.31 : x
  2. Step 2: Convert to fraction form
    206,420.06/431,566.31 = 431,566.31/x
  3. Step 3: Cross multiply
    206,420.06x = 431,566.31 × 431,566.31
  4. Step 4: Simplify right side
    206,420.06x = 186,249,482,084.85
  5. Step 5: Solve for x
    x = 186,249,482,084.85/206,420.06
  6. Step 6: Final answer
    x = 902,283.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.