Home / 138,295-213,584

Finding the Third Proportional to 138,295 and 213,584

Calculator

Solution

The third proportional to 138,295 and 213,584 is: 329,860.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,295 : 213,584 = 213,584 : x
  2. Step 2: Convert to fraction form
    138,295/213,584 = 213,584/x
  3. Step 3: Cross multiply
    138,295x = 213,584 × 213,584
  4. Step 4: Simplify right side
    138,295x = 45,618,125,056
  5. Step 5: Solve for x
    x = 45,618,125,056/138,295
  6. Step 6: Final answer
    x = 329,860.99

Related Problems

Find third proportional to 69,147.50 and 106,792
Half scale
Find third proportional to 276,590 and 427,168
Double scale
Find third proportional to 138,297 and 213,587
Similar ratio
Find third proportional to 207,442.50 and 320,376
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.