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Finding the Third Proportional to 1,489.50 and 3,176.63

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Solution

The third proportional to 1,489.50 and 3,176.63 is: 6,774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.50 : 3,176.63 = 3,176.63 : x
  2. Step 2: Convert to fraction form
    1,489.50/3,176.63 = 3,176.63/x
  3. Step 3: Cross multiply
    1,489.50x = 3,176.63 × 3,176.63
  4. Step 4: Simplify right side
    1,489.50x = 10,090,946.39
  5. Step 5: Solve for x
    x = 10,090,946.39/1,489.50
  6. Step 6: Final answer
    x = 6,774.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.