Home / 8,390-9,713

Finding the Third Proportional to 8,390 and 9,713

Calculator

Solution

The third proportional to 8,390 and 9,713 is: 11,244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390 : 9,713 = 9,713 : x
  2. Step 2: Convert to fraction form
    8,390/9,713 = 9,713/x
  3. Step 3: Cross multiply
    8,390x = 9,713 × 9,713
  4. Step 4: Simplify right side
    8,390x = 94,342,369
  5. Step 5: Solve for x
    x = 94,342,369/8,390
  6. Step 6: Final answer
    x = 11,244.62

Related Problems

Find third proportional to 4,195 and 4,856.50
Half scale
Find third proportional to 16,780 and 19,426
Double scale
Find third proportional to 8,392 and 9,715
Similar ratio
Find third proportional to 12,585 and 14,569.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.