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Finding the Third Proportional to 13,209 and 19,813.50

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Solution

The third proportional to 13,209 and 19,813.50 is: 29,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209 : 19,813.50 = 19,813.50 : x
  2. Step 2: Convert to fraction form
    13,209/19,813.50 = 19,813.50/x
  3. Step 3: Cross multiply
    13,209x = 19,813.50 × 19,813.50
  4. Step 4: Simplify right side
    13,209x = 392,574,782.25
  5. Step 5: Solve for x
    x = 392,574,782.25/13,209
  6. Step 6: Final answer
    x = 29,720.25

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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.