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Finding the Third Proportional to 15,312 and 20,412

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Solution

The third proportional to 15,312 and 20,412 is: 27,210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,312 : 20,412 = 20,412 : x
  2. Step 2: Convert to fraction form
    15,312/20,412 = 20,412/x
  3. Step 3: Cross multiply
    15,312x = 20,412 × 20,412
  4. Step 4: Simplify right side
    15,312x = 416,649,744
  5. Step 5: Solve for x
    x = 416,649,744/15,312
  6. Step 6: Final answer
    x = 27,210.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.