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Finding the Third Proportional to 851.63 and 1,207.69

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Solution

The third proportional to 851.63 and 1,207.69 is: 1,712.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.63 : 1,207.69 = 1,207.69 : x
  2. Step 2: Convert to fraction form
    851.63/1,207.69 = 1,207.69/x
  3. Step 3: Cross multiply
    851.63x = 1,207.69 × 1,207.69
  4. Step 4: Simplify right side
    851.63x = 1,458,509.10
  5. Step 5: Solve for x
    x = 1,458,509.10/851.63
  6. Step 6: Final answer
    x = 1,712.62

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.