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Finding the Third Proportional to 4,587.38 and 7,290.38

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Solution

The third proportional to 4,587.38 and 7,290.38 is: 11,586.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,587.38 : 7,290.38 = 7,290.38 : x
  2. Step 2: Convert to fraction form
    4,587.38/7,290.38 = 7,290.38/x
  3. Step 3: Cross multiply
    4,587.38x = 7,290.38 × 7,290.38
  4. Step 4: Simplify right side
    4,587.38x = 53,149,567.64
  5. Step 5: Solve for x
    x = 53,149,567.64/4,587.38
  6. Step 6: Final answer
    x = 11,586.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.