Home / 51,706-77,990

Finding the Third Proportional to 51,706 and 77,990

Calculator

Solution

The third proportional to 51,706 and 77,990 is: 117,635.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,706 : 77,990 = 77,990 : x
  2. Step 2: Convert to fraction form
    51,706/77,990 = 77,990/x
  3. Step 3: Cross multiply
    51,706x = 77,990 × 77,990
  4. Step 4: Simplify right side
    51,706x = 6,082,440,100
  5. Step 5: Solve for x
    x = 6,082,440,100/51,706
  6. Step 6: Final answer
    x = 117,635.09

Related Problems

Find third proportional to 25,853 and 38,995
Half scale
Find third proportional to 103,412 and 155,980
Double scale
Find third proportional to 51,708 and 77,993
Similar ratio
Find third proportional to 77,559 and 116,985
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.