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Finding the Third Proportional to 435.38 and 932.77

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Solution

The third proportional to 435.38 and 932.77 is: 1,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.38 : 932.77 = 932.77 : x
  2. Step 2: Convert to fraction form
    435.38/932.77 = 932.77/x
  3. Step 3: Cross multiply
    435.38x = 932.77 × 932.77
  4. Step 4: Simplify right side
    435.38x = 870,051.71
  5. Step 5: Solve for x
    x = 870,051.71/435.38
  6. Step 6: Final answer
    x = 1,998.40

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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.