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Finding the Third Proportional to 8,203.50 and 19,209.50

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Solution

The third proportional to 8,203.50 and 19,209.50 is: 44,981.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.50 : 19,209.50 = 19,209.50 : x
  2. Step 2: Convert to fraction form
    8,203.50/19,209.50 = 19,209.50/x
  3. Step 3: Cross multiply
    8,203.50x = 19,209.50 × 19,209.50
  4. Step 4: Simplify right side
    8,203.50x = 369,004,890.25
  5. Step 5: Solve for x
    x = 369,004,890.25/8,203.50
  6. Step 6: Final answer
    x = 44,981.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.