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Finding the Third Proportional to 430.78 and 944.25

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Solution

The third proportional to 430.78 and 944.25 is: 2,069.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.78 : 944.25 = 944.25 : x
  2. Step 2: Convert to fraction form
    430.78/944.25 = 944.25/x
  3. Step 3: Cross multiply
    430.78x = 944.25 × 944.25
  4. Step 4: Simplify right side
    430.78x = 891,608.06
  5. Step 5: Solve for x
    x = 891,608.06/430.78
  6. Step 6: Final answer
    x = 2,069.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.