Home / 164,847-257,112

Finding the Third Proportional to 164,847 and 257,112

Calculator

Solution

The third proportional to 164,847 and 257,112 is: 401,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,847 : 257,112 = 257,112 : x
  2. Step 2: Convert to fraction form
    164,847/257,112 = 257,112/x
  3. Step 3: Cross multiply
    164,847x = 257,112 × 257,112
  4. Step 4: Simplify right side
    164,847x = 66,106,580,544
  5. Step 5: Solve for x
    x = 66,106,580,544/164,847
  6. Step 6: Final answer
    x = 401,017.80

Related Problems

Find third proportional to 82,423.50 and 128,556
Half scale
Find third proportional to 329,694 and 514,224
Double scale
Find third proportional to 164,849 and 257,115
Similar ratio
Find third proportional to 247,270.50 and 385,668
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.