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Finding the Third Proportional to 437.83 and 924.78

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Solution

The third proportional to 437.83 and 924.78 is: 1,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.83 : 924.78 = 924.78 : x
  2. Step 2: Convert to fraction form
    437.83/924.78 = 924.78/x
  3. Step 3: Cross multiply
    437.83x = 924.78 × 924.78
  4. Step 4: Simplify right side
    437.83x = 855,211.33
  5. Step 5: Solve for x
    x = 855,211.33/437.83
  6. Step 6: Final answer
    x = 1,953.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.