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Finding the Third Proportional to 427.92 and 924.05

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Solution

The third proportional to 427.92 and 924.05 is: 1,995.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.92 : 924.05 = 924.05 : x
  2. Step 2: Convert to fraction form
    427.92/924.05 = 924.05/x
  3. Step 3: Cross multiply
    427.92x = 924.05 × 924.05
  4. Step 4: Simplify right side
    427.92x = 853,862.63
  5. Step 5: Solve for x
    x = 853,862.63/427.92
  6. Step 6: Final answer
    x = 1,995.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.