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Finding the Third Proportional to 309.23 and 580.08

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Solution

The third proportional to 309.23 and 580.08 is: 1,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.23 : 580.08 = 580.08 : x
  2. Step 2: Convert to fraction form
    309.23/580.08 = 580.08/x
  3. Step 3: Cross multiply
    309.23x = 580.08 × 580.08
  4. Step 4: Simplify right side
    309.23x = 336,490.63
  5. Step 5: Solve for x
    x = 336,490.63/309.23
  6. Step 6: Final answer
    x = 1,088.14

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.