Home / 232,800-509,340

Finding the Third Proportional to 232,800 and 509,340

Calculator

Solution

The third proportional to 232,800 and 509,340 is: 1,114,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,800 : 509,340 = 509,340 : x
  2. Step 2: Convert to fraction form
    232,800/509,340 = 509,340/x
  3. Step 3: Cross multiply
    232,800x = 509,340 × 509,340
  4. Step 4: Simplify right side
    232,800x = 259,427,235,600
  5. Step 5: Solve for x
    x = 259,427,235,600/232,800
  6. Step 6: Final answer
    x = 1,114,378.16

Related Problems

Find third proportional to 116,400 and 254,670
Half scale
Find third proportional to 465,600 and 1,018,680
Double scale
Find third proportional to 232,802 and 509,344
Similar ratio
Find third proportional to 349,200 and 764,010
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.