Home / 51,977-83,708

Finding the Third Proportional to 51,977 and 83,708

Calculator

Solution

The third proportional to 51,977 and 83,708 is: 134,810.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,977 : 83,708 = 83,708 : x
  2. Step 2: Convert to fraction form
    51,977/83,708 = 83,708/x
  3. Step 3: Cross multiply
    51,977x = 83,708 × 83,708
  4. Step 4: Simplify right side
    51,977x = 7,007,029,264
  5. Step 5: Solve for x
    x = 7,007,029,264/51,977
  6. Step 6: Final answer
    x = 134,810.19

Related Problems

Find third proportional to 25,988.50 and 41,854
Half scale
Find third proportional to 103,954 and 167,416
Double scale
Find third proportional to 51,979 and 83,711
Similar ratio
Find third proportional to 77,965.50 and 125,562
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.