Home / 6,498-7,970

Finding the Third Proportional to 6,498 and 7,970

Calculator

Solution

The third proportional to 6,498 and 7,970 is: 9,775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498 : 7,970 = 7,970 : x
  2. Step 2: Convert to fraction form
    6,498/7,970 = 7,970/x
  3. Step 3: Cross multiply
    6,498x = 7,970 × 7,970
  4. Step 4: Simplify right side
    6,498x = 63,520,900
  5. Step 5: Solve for x
    x = 63,520,900/6,498
  6. Step 6: Final answer
    x = 9,775.45

Related Problems

Find third proportional to 3,249 and 3,985
Half scale
Find third proportional to 12,996 and 15,940
Double scale
Find third proportional to 6,500 and 7,972
Similar ratio
Find third proportional to 9,747 and 11,955
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.