Home / 442.13-971.16

Finding the Third Proportional to 442.13 and 971.16

Calculator

Solution

The third proportional to 442.13 and 971.16 is: 2,133.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.13 : 971.16 = 971.16 : x
  2. Step 2: Convert to fraction form
    442.13/971.16 = 971.16/x
  3. Step 3: Cross multiply
    442.13x = 971.16 × 971.16
  4. Step 4: Simplify right side
    442.13x = 943,144.46
  5. Step 5: Solve for x
    x = 943,144.46/442.13
  6. Step 6: Final answer
    x = 2,133.21

Related Problems

Find third proportional to 221.06 and 485.58
Half scale
Find third proportional to 884.25 and 1,942.31
Double scale
Find third proportional to 444 and 976
Similar ratio
Find third proportional to 663.19 and 1,456.73
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.