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Finding the Third Proportional to 4,258.91 and 8,730.32

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Solution

The third proportional to 4,258.91 and 8,730.32 is: 17,896.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.91 : 8,730.32 = 8,730.32 : x
  2. Step 2: Convert to fraction form
    4,258.91/8,730.32 = 8,730.32/x
  3. Step 3: Cross multiply
    4,258.91x = 8,730.32 × 8,730.32
  4. Step 4: Simplify right side
    4,258.91x = 76,218,501.28
  5. Step 5: Solve for x
    x = 76,218,501.28/4,258.91
  6. Step 6: Final answer
    x = 17,896.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.