Home / 34,560-51,971

Finding the Third Proportional to 34,560 and 51,971

Calculator

Solution

The third proportional to 34,560 and 51,971 is: 78,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,560 : 51,971 = 51,971 : x
  2. Step 2: Convert to fraction form
    34,560/51,971 = 51,971/x
  3. Step 3: Cross multiply
    34,560x = 51,971 × 51,971
  4. Step 4: Simplify right side
    34,560x = 2,700,984,841
  5. Step 5: Solve for x
    x = 2,700,984,841/34,560
  6. Step 6: Final answer
    x = 78,153.50

Related Problems

Find third proportional to 17,280 and 25,985.50
Half scale
Find third proportional to 69,120 and 103,942
Double scale
Find third proportional to 34,562 and 51,974
Similar ratio
Find third proportional to 51,840 and 77,956.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.