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Finding the Third Proportional to 431.58 and 923.91

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Solution

The third proportional to 431.58 and 923.91 is: 1,977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.58 : 923.91 = 923.91 : x
  2. Step 2: Convert to fraction form
    431.58/923.91 = 923.91/x
  3. Step 3: Cross multiply
    431.58x = 923.91 × 923.91
  4. Step 4: Simplify right side
    431.58x = 853,602.76
  5. Step 5: Solve for x
    x = 853,602.76/431.58
  6. Step 6: Final answer
    x = 1,977.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.