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Finding the Third Proportional to 5,899.50 and 9,254.25

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Solution

The third proportional to 5,899.50 and 9,254.25 is: 14,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.50 : 9,254.25 = 9,254.25 : x
  2. Step 2: Convert to fraction form
    5,899.50/9,254.25 = 9,254.25/x
  3. Step 3: Cross multiply
    5,899.50x = 9,254.25 × 9,254.25
  4. Step 4: Simplify right side
    5,899.50x = 85,641,143.06
  5. Step 5: Solve for x
    x = 85,641,143.06/5,899.50
  6. Step 6: Final answer
    x = 14,516.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.