Home / 232.50-510

Finding the Third Proportional to 232.50 and 510

Calculator

Solution

The third proportional to 232.50 and 510 is: 1,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.50 : 510 = 510 : x
  2. Step 2: Convert to fraction form
    232.50/510 = 510/x
  3. Step 3: Cross multiply
    232.50x = 510 × 510
  4. Step 4: Simplify right side
    232.50x = 260,100
  5. Step 5: Solve for x
    x = 260,100/232.50
  6. Step 6: Final answer
    x = 1,118.71

Related Problems

Find third proportional to 116.25 and 255
Half scale
Find third proportional to 465 and 1,020
Double scale
Find third proportional to 235 and 514
Similar ratio
Find third proportional to 348.75 and 765
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.