Home / 208,076-313,538

Finding the Third Proportional to 208,076 and 313,538

Calculator

Solution

The third proportional to 208,076 and 313,538 is: 472,452.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,076 : 313,538 = 313,538 : x
  2. Step 2: Convert to fraction form
    208,076/313,538 = 313,538/x
  3. Step 3: Cross multiply
    208,076x = 313,538 × 313,538
  4. Step 4: Simplify right side
    208,076x = 98,306,077,444
  5. Step 5: Solve for x
    x = 98,306,077,444/208,076
  6. Step 6: Final answer
    x = 472,452.75

Related Problems

Find third proportional to 104,038 and 156,769
Half scale
Find third proportional to 416,152 and 627,076
Double scale
Find third proportional to 208,078 and 313,541
Similar ratio
Find third proportional to 312,114 and 470,307
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.