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Finding the Third Proportional to 7,821 and 16,459.50

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Solution

The third proportional to 7,821 and 16,459.50 is: 34,639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821 : 16,459.50 = 16,459.50 : x
  2. Step 2: Convert to fraction form
    7,821/16,459.50 = 16,459.50/x
  3. Step 3: Cross multiply
    7,821x = 16,459.50 × 16,459.50
  4. Step 4: Simplify right side
    7,821x = 270,915,140.25
  5. Step 5: Solve for x
    x = 270,915,140.25/7,821
  6. Step 6: Final answer
    x = 34,639.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.