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Finding the Third Proportional to 5,946 and 8,068.50

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Solution

The third proportional to 5,946 and 8,068.50 is: 10,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946 : 8,068.50 = 8,068.50 : x
  2. Step 2: Convert to fraction form
    5,946/8,068.50 = 8,068.50/x
  3. Step 3: Cross multiply
    5,946x = 8,068.50 × 8,068.50
  4. Step 4: Simplify right side
    5,946x = 65,100,692.25
  5. Step 5: Solve for x
    x = 65,100,692.25/5,946
  6. Step 6: Final answer
    x = 10,948.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.