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Finding the Third Proportional to 6,709.50 and 9,776.25

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Solution

The third proportional to 6,709.50 and 9,776.25 is: 14,244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.50 : 9,776.25 = 9,776.25 : x
  2. Step 2: Convert to fraction form
    6,709.50/9,776.25 = 9,776.25/x
  3. Step 3: Cross multiply
    6,709.50x = 9,776.25 × 9,776.25
  4. Step 4: Simplify right side
    6,709.50x = 95,575,064.06
  5. Step 5: Solve for x
    x = 95,575,064.06/6,709.50
  6. Step 6: Final answer
    x = 14,244.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.