Home / 6,598-7,814

Finding the Third Proportional to 6,598 and 7,814

Calculator

Solution

The third proportional to 6,598 and 7,814 is: 9,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598 : 7,814 = 7,814 : x
  2. Step 2: Convert to fraction form
    6,598/7,814 = 7,814/x
  3. Step 3: Cross multiply
    6,598x = 7,814 × 7,814
  4. Step 4: Simplify right side
    6,598x = 61,058,596
  5. Step 5: Solve for x
    x = 61,058,596/6,598
  6. Step 6: Final answer
    x = 9,254.11

Related Problems

Find third proportional to 3,299 and 3,907
Half scale
Find third proportional to 13,196 and 15,628
Double scale
Find third proportional to 6,600 and 7,816
Similar ratio
Find third proportional to 9,897 and 11,721
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.