Home / 164,059-257,024

Finding the Third Proportional to 164,059 and 257,024

Calculator

Solution

The third proportional to 164,059 and 257,024 is: 402,668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,059 : 257,024 = 257,024 : x
  2. Step 2: Convert to fraction form
    164,059/257,024 = 257,024/x
  3. Step 3: Cross multiply
    164,059x = 257,024 × 257,024
  4. Step 4: Simplify right side
    164,059x = 66,061,336,576
  5. Step 5: Solve for x
    x = 66,061,336,576/164,059
  6. Step 6: Final answer
    x = 402,668.17

Related Problems

Find third proportional to 82,029.50 and 128,512
Half scale
Find third proportional to 328,118 and 514,048
Double scale
Find third proportional to 164,061 and 257,027
Similar ratio
Find third proportional to 246,088.50 and 385,536
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.