Home / 83,911-117,319

Finding the Third Proportional to 83,911 and 117,319

Calculator

Solution

The third proportional to 83,911 and 117,319 is: 164,027.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,911 : 117,319 = 117,319 : x
  2. Step 2: Convert to fraction form
    83,911/117,319 = 117,319/x
  3. Step 3: Cross multiply
    83,911x = 117,319 × 117,319
  4. Step 4: Simplify right side
    83,911x = 13,763,747,761
  5. Step 5: Solve for x
    x = 13,763,747,761/83,911
  6. Step 6: Final answer
    x = 164,027.93

Related Problems

Find third proportional to 41,955.50 and 58,659.50
Half scale
Find third proportional to 167,822 and 234,638
Double scale
Find third proportional to 83,913 and 117,322
Similar ratio
Find third proportional to 125,866.50 and 175,978.50
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.