Home / 249-585

Finding the Third Proportional to 249 and 585

Calculator

Solution

The third proportional to 249 and 585 is: 1,374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    249 : 585 = 585 : x
  2. Step 2: Convert to fraction form
    249/585 = 585/x
  3. Step 3: Cross multiply
    249x = 585 × 585
  4. Step 4: Simplify right side
    249x = 342,225
  5. Step 5: Solve for x
    x = 342,225/249
  6. Step 6: Final answer
    x = 1,374.40

Related Problems

Find third proportional to 124.50 and 292.50
Half scale
Find third proportional to 498 and 1,170
Double scale
Find third proportional to 251 and 590
Similar ratio
Find third proportional to 373.50 and 877.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.