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Finding the Third Proportional to 689.03 and 1,501.98

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Solution

The third proportional to 689.03 and 1,501.98 is: 3,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.03 : 1,501.98 = 1,501.98 : x
  2. Step 2: Convert to fraction form
    689.03/1,501.98 = 1,501.98/x
  3. Step 3: Cross multiply
    689.03x = 1,501.98 × 1,501.98
  4. Step 4: Simplify right side
    689.03x = 2,255,945.33
  5. Step 5: Solve for x
    x = 2,255,945.33/689.03
  6. Step 6: Final answer
    x = 3,274.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.