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Finding the Third Proportional to 6,490.50 and 9,724.75

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Solution

The third proportional to 6,490.50 and 9,724.75 is: 14,570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.50 : 9,724.75 = 9,724.75 : x
  2. Step 2: Convert to fraction form
    6,490.50/9,724.75 = 9,724.75/x
  3. Step 3: Cross multiply
    6,490.50x = 9,724.75 × 9,724.75
  4. Step 4: Simplify right side
    6,490.50x = 94,570,762.56
  5. Step 5: Solve for x
    x = 94,570,762.56/6,490.50
  6. Step 6: Final answer
    x = 14,570.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.