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Finding the Third Proportional to 4,701.80 and 5,390.30

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Solution

The third proportional to 4,701.80 and 5,390.30 is: 6,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.80 : 5,390.30 = 5,390.30 : x
  2. Step 2: Convert to fraction form
    4,701.80/5,390.30 = 5,390.30/x
  3. Step 3: Cross multiply
    4,701.80x = 5,390.30 × 5,390.30
  4. Step 4: Simplify right side
    4,701.80x = 29,055,300.40
  5. Step 5: Solve for x
    x = 29,055,300.40/4,701.80
  6. Step 6: Final answer
    x = 6,179.62

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.