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Finding the Third Proportional to 188.63 and 407.63

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Solution

The third proportional to 188.63 and 407.63 is: 880.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.63 : 407.63 = 407.63 : x
  2. Step 2: Convert to fraction form
    188.63/407.63 = 407.63/x
  3. Step 3: Cross multiply
    188.63x = 407.63 × 407.63
  4. Step 4: Simplify right side
    188.63x = 166,158.14
  5. Step 5: Solve for x
    x = 166,158.14/188.63
  6. Step 6: Final answer
    x = 880.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.