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Finding the Third Proportional to 4,785.75 and 9,870.19

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Solution

The third proportional to 4,785.75 and 9,870.19 is: 20,356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.75 : 9,870.19 = 9,870.19 : x
  2. Step 2: Convert to fraction form
    4,785.75/9,870.19 = 9,870.19/x
  3. Step 3: Cross multiply
    4,785.75x = 9,870.19 × 9,870.19
  4. Step 4: Simplify right side
    4,785.75x = 97,420,601.29
  5. Step 5: Solve for x
    x = 97,420,601.29/4,785.75
  6. Step 6: Final answer
    x = 20,356.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.