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Finding the Third Proportional to 429.36 and 924.86

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Solution

The third proportional to 429.36 and 924.86 is: 1,992.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.36 : 924.86 = 924.86 : x
  2. Step 2: Convert to fraction form
    429.36/924.86 = 924.86/x
  3. Step 3: Cross multiply
    429.36x = 924.86 × 924.86
  4. Step 4: Simplify right side
    429.36x = 855,357.64
  5. Step 5: Solve for x
    x = 855,357.64/429.36
  6. Step 6: Final answer
    x = 1,992.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.