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Finding the Third Proportional to 3,152.36 and 5,036.08

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Solution

The third proportional to 3,152.36 and 5,036.08 is: 8,045.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.36 : 5,036.08 = 5,036.08 : x
  2. Step 2: Convert to fraction form
    3,152.36/5,036.08 = 5,036.08/x
  3. Step 3: Cross multiply
    3,152.36x = 5,036.08 × 5,036.08
  4. Step 4: Simplify right side
    3,152.36x = 25,362,102.55
  5. Step 5: Solve for x
    x = 25,362,102.55/3,152.36
  6. Step 6: Final answer
    x = 8,045.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.