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Finding the Third Proportional to 9,675 and 12,631.50

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Solution

The third proportional to 9,675 and 12,631.50 is: 16,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675 : 12,631.50 = 12,631.50 : x
  2. Step 2: Convert to fraction form
    9,675/12,631.50 = 12,631.50/x
  3. Step 3: Cross multiply
    9,675x = 12,631.50 × 12,631.50
  4. Step 4: Simplify right side
    9,675x = 159,554,792.25
  5. Step 5: Solve for x
    x = 159,554,792.25/9,675
  6. Step 6: Final answer
    x = 16,491.45

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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.