Home / 286.50-409.50

Finding the Third Proportional to 286.50 and 409.50

Calculator

Solution

The third proportional to 286.50 and 409.50 is: 585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.50 : 409.50 = 409.50 : x
  2. Step 2: Convert to fraction form
    286.50/409.50 = 409.50/x
  3. Step 3: Cross multiply
    286.50x = 409.50 × 409.50
  4. Step 4: Simplify right side
    286.50x = 167,690.25
  5. Step 5: Solve for x
    x = 167,690.25/286.50
  6. Step 6: Final answer
    x = 585.31

Related Problems

Find third proportional to 143.25 and 204.75
Half scale
Find third proportional to 573 and 819
Double scale
Find third proportional to 289 and 412
Similar ratio
Find third proportional to 429.75 and 614.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.