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Finding the Third Proportional to 154,802.81 and 217,996.31

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Solution

The third proportional to 154,802.81 and 217,996.31 is: 306,986.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,802.81 : 217,996.31 = 217,996.31 : x
  2. Step 2: Convert to fraction form
    154,802.81/217,996.31 = 217,996.31/x
  3. Step 3: Cross multiply
    154,802.81x = 217,996.31 × 217,996.31
  4. Step 4: Simplify right side
    154,802.81x = 47,522,392,263.60
  5. Step 5: Solve for x
    x = 47,522,392,263.60/154,802.81
  6. Step 6: Final answer
    x = 306,986.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.