Home / 322.50-510

Finding the Third Proportional to 322.50 and 510

Calculator

Solution

The third proportional to 322.50 and 510 is: 806.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.50 : 510 = 510 : x
  2. Step 2: Convert to fraction form
    322.50/510 = 510/x
  3. Step 3: Cross multiply
    322.50x = 510 × 510
  4. Step 4: Simplify right side
    322.50x = 260,100
  5. Step 5: Solve for x
    x = 260,100/322.50
  6. Step 6: Final answer
    x = 806.51

Related Problems

Find third proportional to 161.25 and 255
Half scale
Find third proportional to 645 and 1,020
Double scale
Find third proportional to 325 and 513
Similar ratio
Find third proportional to 483.75 and 765
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.