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Finding the Third Proportional to 449.30 and 932.77

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Solution

The third proportional to 449.30 and 932.77 is: 1,936.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.30 : 932.77 = 932.77 : x
  2. Step 2: Convert to fraction form
    449.30/932.77 = 932.77/x
  3. Step 3: Cross multiply
    449.30x = 932.77 × 932.77
  4. Step 4: Simplify right side
    449.30x = 870,051.71
  5. Step 5: Solve for x
    x = 870,051.71/449.30
  6. Step 6: Final answer
    x = 1,936.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.