Home / 31,272-68,053

Finding the Third Proportional to 31,272 and 68,053

Calculator

Solution

The third proportional to 31,272 and 68,053 is: 148,094.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,272 : 68,053 = 68,053 : x
  2. Step 2: Convert to fraction form
    31,272/68,053 = 68,053/x
  3. Step 3: Cross multiply
    31,272x = 68,053 × 68,053
  4. Step 4: Simplify right side
    31,272x = 4,631,210,809
  5. Step 5: Solve for x
    x = 4,631,210,809/31,272
  6. Step 6: Final answer
    x = 148,094.49

Related Problems

Find third proportional to 15,636 and 34,026.50
Half scale
Find third proportional to 62,544 and 136,106
Double scale
Find third proportional to 31,274 and 68,057
Similar ratio
Find third proportional to 46,908 and 102,079.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.