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Finding the Third Proportional to 4,745.81 and 7,854.19

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Solution

The third proportional to 4,745.81 and 7,854.19 is: 12,998.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.81 : 7,854.19 = 7,854.19 : x
  2. Step 2: Convert to fraction form
    4,745.81/7,854.19 = 7,854.19/x
  3. Step 3: Cross multiply
    4,745.81x = 7,854.19 × 7,854.19
  4. Step 4: Simplify right side
    4,745.81x = 61,688,261.29
  5. Step 5: Solve for x
    x = 61,688,261.29/4,745.81
  6. Step 6: Final answer
    x = 12,998.46

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.