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Finding the Third Proportional to 1,509.47 and 2,220.49

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Solution

The third proportional to 1,509.47 and 2,220.49 is: 3,266.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.47 : 2,220.49 = 2,220.49 : x
  2. Step 2: Convert to fraction form
    1,509.47/2,220.49 = 2,220.49/x
  3. Step 3: Cross multiply
    1,509.47x = 2,220.49 × 2,220.49
  4. Step 4: Simplify right side
    1,509.47x = 4,930,585.55
  5. Step 5: Solve for x
    x = 4,930,585.55/1,509.47
  6. Step 6: Final answer
    x = 3,266.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.