Home / 137,052-199,746

Finding the Third Proportional to 137,052 and 199,746

Calculator

Solution

The third proportional to 137,052 and 199,746 is: 291,119.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,052 : 199,746 = 199,746 : x
  2. Step 2: Convert to fraction form
    137,052/199,746 = 199,746/x
  3. Step 3: Cross multiply
    137,052x = 199,746 × 199,746
  4. Step 4: Simplify right side
    137,052x = 39,898,464,516
  5. Step 5: Solve for x
    x = 39,898,464,516/137,052
  6. Step 6: Final answer
    x = 291,119.17

Related Problems

Find third proportional to 68,526 and 99,873
Half scale
Find third proportional to 274,104 and 399,492
Double scale
Find third proportional to 137,054 and 199,749
Similar ratio
Find third proportional to 205,578 and 299,619
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.