Home / 109,657-235,946

Finding the Third Proportional to 109,657 and 235,946

Calculator

Solution

The third proportional to 109,657 and 235,946 is: 507,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,657 : 235,946 = 235,946 : x
  2. Step 2: Convert to fraction form
    109,657/235,946 = 235,946/x
  3. Step 3: Cross multiply
    109,657x = 235,946 × 235,946
  4. Step 4: Simplify right side
    109,657x = 55,670,514,916
  5. Step 5: Solve for x
    x = 55,670,514,916/109,657
  6. Step 6: Final answer
    x = 507,678.62

Related Problems

Find third proportional to 54,828.50 and 117,973
Half scale
Find third proportional to 219,314 and 471,892
Double scale
Find third proportional to 109,659 and 235,950
Similar ratio
Find third proportional to 164,485.50 and 353,919
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.