Home / 283.50-510

Finding the Third Proportional to 283.50 and 510

Calculator

Solution

The third proportional to 283.50 and 510 is: 917.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.50 : 510 = 510 : x
  2. Step 2: Convert to fraction form
    283.50/510 = 510/x
  3. Step 3: Cross multiply
    283.50x = 510 × 510
  4. Step 4: Simplify right side
    283.50x = 260,100
  5. Step 5: Solve for x
    x = 260,100/283.50
  6. Step 6: Final answer
    x = 917.46

Related Problems

Find third proportional to 141.75 and 255
Half scale
Find third proportional to 567 and 1,020
Double scale
Find third proportional to 286 and 514
Similar ratio
Find third proportional to 425.25 and 765
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.