Home / 142,284-213,053

Finding the Third Proportional to 142,284 and 213,053

Calculator

Solution

The third proportional to 142,284 and 213,053 is: 319,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,284 : 213,053 = 213,053 : x
  2. Step 2: Convert to fraction form
    142,284/213,053 = 213,053/x
  3. Step 3: Cross multiply
    142,284x = 213,053 × 213,053
  4. Step 4: Simplify right side
    142,284x = 45,391,580,809
  5. Step 5: Solve for x
    x = 45,391,580,809/142,284
  6. Step 6: Final answer
    x = 319,020.98

Related Problems

Find third proportional to 71,142 and 106,526.50
Half scale
Find third proportional to 284,568 and 426,106
Double scale
Find third proportional to 142,286 and 213,056
Similar ratio
Find third proportional to 213,426 and 319,579.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.