Home / 5,213-9,598

Finding the Third Proportional to 5,213 and 9,598

Calculator

Solution

The third proportional to 5,213 and 9,598 is: 17,671.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213 : 9,598 = 9,598 : x
  2. Step 2: Convert to fraction form
    5,213/9,598 = 9,598/x
  3. Step 3: Cross multiply
    5,213x = 9,598 × 9,598
  4. Step 4: Simplify right side
    5,213x = 92,121,604
  5. Step 5: Solve for x
    x = 92,121,604/5,213
  6. Step 6: Final answer
    x = 17,671.51

Related Problems

Find third proportional to 2,606.50 and 4,799
Half scale
Find third proportional to 10,426 and 19,196
Double scale
Find third proportional to 5,215 and 9,602
Similar ratio
Find third proportional to 7,819.50 and 14,397
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.