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Finding the Third Proportional to 405.63 and 851.13

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Solution

The third proportional to 405.63 and 851.13 is: 1,785.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.63 : 851.13 = 851.13 : x
  2. Step 2: Convert to fraction form
    405.63/851.13 = 851.13/x
  3. Step 3: Cross multiply
    405.63x = 851.13 × 851.13
  4. Step 4: Simplify right side
    405.63x = 724,427.06
  5. Step 5: Solve for x
    x = 724,427.06/405.63
  6. Step 6: Final answer
    x = 1,785.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.