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Finding the Third Proportional to 3,065.88 and 4,746.19

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Solution

The third proportional to 3,065.88 and 4,746.19 is: 7,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.88 : 4,746.19 = 4,746.19 : x
  2. Step 2: Convert to fraction form
    3,065.88/4,746.19 = 4,746.19/x
  3. Step 3: Cross multiply
    3,065.88x = 4,746.19 × 4,746.19
  4. Step 4: Simplify right side
    3,065.88x = 22,526,295.79
  5. Step 5: Solve for x
    x = 22,526,295.79/3,065.88
  6. Step 6: Final answer
    x = 7,347.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.