Home / 233,014-509,640

Finding the Third Proportional to 233,014 and 509,640

Calculator

Solution

The third proportional to 233,014 and 509,640 is: 1,114,666.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,014 : 509,640 = 509,640 : x
  2. Step 2: Convert to fraction form
    233,014/509,640 = 509,640/x
  3. Step 3: Cross multiply
    233,014x = 509,640 × 509,640
  4. Step 4: Simplify right side
    233,014x = 259,732,929,600
  5. Step 5: Solve for x
    x = 259,732,929,600/233,014
  6. Step 6: Final answer
    x = 1,114,666.63

Related Problems

Find third proportional to 116,507 and 254,820
Half scale
Find third proportional to 466,028 and 1,019,280
Double scale
Find third proportional to 233,016 and 509,644
Similar ratio
Find third proportional to 349,521 and 764,460
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.