Home / 208,072-314,294

Finding the Third Proportional to 208,072 and 314,294

Calculator

Solution

The third proportional to 208,072 and 314,294 is: 474,742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,072 : 314,294 = 314,294 : x
  2. Step 2: Convert to fraction form
    208,072/314,294 = 314,294/x
  3. Step 3: Cross multiply
    208,072x = 314,294 × 314,294
  4. Step 4: Simplify right side
    208,072x = 98,780,718,436
  5. Step 5: Solve for x
    x = 98,780,718,436/208,072
  6. Step 6: Final answer
    x = 474,742.97

Related Problems

Find third proportional to 104,036 and 157,147
Half scale
Find third proportional to 416,144 and 628,588
Double scale
Find third proportional to 208,074 and 314,297
Similar ratio
Find third proportional to 312,108 and 471,441
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.