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Finding the Third Proportional to 1,528.03 and 4,140.28

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Solution

The third proportional to 1,528.03 and 4,140.28 is: 11,218.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.03 : 4,140.28 = 4,140.28 : x
  2. Step 2: Convert to fraction form
    1,528.03/4,140.28 = 4,140.28/x
  3. Step 3: Cross multiply
    1,528.03x = 4,140.28 × 4,140.28
  4. Step 4: Simplify right side
    1,528.03x = 17,141,928.83
  5. Step 5: Solve for x
    x = 17,141,928.83/1,528.03
  6. Step 6: Final answer
    x = 11,218.31

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.