Home / 51,068-71,431

Finding the Third Proportional to 51,068 and 71,431

Calculator

Solution

The third proportional to 51,068 and 71,431 is: 99,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,068 : 71,431 = 71,431 : x
  2. Step 2: Convert to fraction form
    51,068/71,431 = 71,431/x
  3. Step 3: Cross multiply
    51,068x = 71,431 × 71,431
  4. Step 4: Simplify right side
    51,068x = 5,102,387,761
  5. Step 5: Solve for x
    x = 5,102,387,761/51,068
  6. Step 6: Final answer
    x = 99,913.60

Related Problems

Find third proportional to 25,534 and 35,715.50
Half scale
Find third proportional to 102,136 and 142,862
Double scale
Find third proportional to 51,070 and 71,434
Similar ratio
Find third proportional to 76,602 and 107,146.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.