Home / 285.12-442.10

Finding the Third Proportional to 285.12 and 442.10

Calculator

Solution

The third proportional to 285.12 and 442.10 is: 685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.12 : 442.10 = 442.10 : x
  2. Step 2: Convert to fraction form
    285.12/442.10 = 442.10/x
  3. Step 3: Cross multiply
    285.12x = 442.10 × 442.10
  4. Step 4: Simplify right side
    285.12x = 195,451.20
  5. Step 5: Solve for x
    x = 195,451.20/285.12
  6. Step 6: Final answer
    x = 685.50

Related Problems

Find third proportional to 142.56 and 221.05
Half scale
Find third proportional to 570.24 and 884.20
Double scale
Find third proportional to 287 and 445
Similar ratio
Find third proportional to 427.68 and 663.15
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.