Home / 7,978-9,310

Finding the Third Proportional to 7,978 and 9,310

Calculator

Solution

The third proportional to 7,978 and 9,310 is: 10,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978 : 9,310 = 9,310 : x
  2. Step 2: Convert to fraction form
    7,978/9,310 = 9,310/x
  3. Step 3: Cross multiply
    7,978x = 9,310 × 9,310
  4. Step 4: Simplify right side
    7,978x = 86,676,100
  5. Step 5: Solve for x
    x = 86,676,100/7,978
  6. Step 6: Final answer
    x = 10,864.39

Related Problems

Find third proportional to 3,989 and 4,655
Half scale
Find third proportional to 15,956 and 18,620
Double scale
Find third proportional to 7,980 and 9,312
Similar ratio
Find third proportional to 11,967 and 13,965
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.