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Finding the Third Proportional to 15,574 and 21,427

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Solution

The third proportional to 15,574 and 21,427 is: 29,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,574 : 21,427 = 21,427 : x
  2. Step 2: Convert to fraction form
    15,574/21,427 = 21,427/x
  3. Step 3: Cross multiply
    15,574x = 21,427 × 21,427
  4. Step 4: Simplify right side
    15,574x = 459,116,329
  5. Step 5: Solve for x
    x = 459,116,329/15,574
  6. Step 6: Final answer
    x = 29,479.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.