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Finding the Third Proportional to 4,549.50 and 5,946.75

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Solution

The third proportional to 4,549.50 and 5,946.75 is: 7,773.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.50 : 5,946.75 = 5,946.75 : x
  2. Step 2: Convert to fraction form
    4,549.50/5,946.75 = 5,946.75/x
  3. Step 3: Cross multiply
    4,549.50x = 5,946.75 × 5,946.75
  4. Step 4: Simplify right side
    4,549.50x = 35,363,835.56
  5. Step 5: Solve for x
    x = 35,363,835.56/4,549.50
  6. Step 6: Final answer
    x = 7,773.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.