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Finding the Third Proportional to 12,621 and 19,750.50

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Solution

The third proportional to 12,621 and 19,750.50 is: 30,907.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,621 : 19,750.50 = 19,750.50 : x
  2. Step 2: Convert to fraction form
    12,621/19,750.50 = 19,750.50/x
  3. Step 3: Cross multiply
    12,621x = 19,750.50 × 19,750.50
  4. Step 4: Simplify right side
    12,621x = 390,082,250.25
  5. Step 5: Solve for x
    x = 390,082,250.25/12,621
  6. Step 6: Final answer
    x = 30,907.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.