Home / 282.38-446.34

Finding the Third Proportional to 282.38 and 446.34

Calculator

Solution

The third proportional to 282.38 and 446.34 is: 705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.38 : 446.34 = 446.34 : x
  2. Step 2: Convert to fraction form
    282.38/446.34 = 446.34/x
  3. Step 3: Cross multiply
    282.38x = 446.34 × 446.34
  4. Step 4: Simplify right side
    282.38x = 199,222.74
  5. Step 5: Solve for x
    x = 199,222.74/282.38
  6. Step 6: Final answer
    x = 705.53

Related Problems

Find third proportional to 141.19 and 223.17
Half scale
Find third proportional to 564.75 and 892.69
Double scale
Find third proportional to 284 and 450
Similar ratio
Find third proportional to 423.56 and 669.52
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.