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Finding the Third Proportional to 217,623.38 and 308,210.06

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Solution

The third proportional to 217,623.38 and 308,210.06 is: 436,503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,623.38 : 308,210.06 = 308,210.06 : x
  2. Step 2: Convert to fraction form
    217,623.38/308,210.06 = 308,210.06/x
  3. Step 3: Cross multiply
    217,623.38x = 308,210.06 × 308,210.06
  4. Step 4: Simplify right side
    217,623.38x = 94,993,442,626.25
  5. Step 5: Solve for x
    x = 94,993,442,626.25/217,623.38
  6. Step 6: Final answer
    x = 436,503.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.