Home / 109,658-239,148

Finding the Third Proportional to 109,658 and 239,148

Calculator

Solution

The third proportional to 109,658 and 239,148 is: 521,546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,658 : 239,148 = 239,148 : x
  2. Step 2: Convert to fraction form
    109,658/239,148 = 239,148/x
  3. Step 3: Cross multiply
    109,658x = 239,148 × 239,148
  4. Step 4: Simplify right side
    109,658x = 57,191,765,904
  5. Step 5: Solve for x
    x = 57,191,765,904/109,658
  6. Step 6: Final answer
    x = 521,546.68

Related Problems

Find third proportional to 54,829 and 119,574
Half scale
Find third proportional to 219,316 and 478,296
Double scale
Find third proportional to 109,660 and 239,152
Similar ratio
Find third proportional to 164,487 and 358,722
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.