Home / 232,973-509,565

Finding the Third Proportional to 232,973 and 509,565

Calculator

Solution

The third proportional to 232,973 and 509,565 is: 1,114,534.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,973 : 509,565 = 509,565 : x
  2. Step 2: Convert to fraction form
    232,973/509,565 = 509,565/x
  3. Step 3: Cross multiply
    232,973x = 509,565 × 509,565
  4. Step 4: Simplify right side
    232,973x = 259,656,489,225
  5. Step 5: Solve for x
    x = 259,656,489,225/232,973
  6. Step 6: Final answer
    x = 1,114,534.69

Related Problems

Find third proportional to 116,486.50 and 254,782.50
Half scale
Find third proportional to 465,946 and 1,019,130
Double scale
Find third proportional to 232,975 and 509,569
Similar ratio
Find third proportional to 349,459.50 and 764,347.50
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.