Home / 516-592.50

Finding the Third Proportional to 516 and 592.50

Calculator

Solution

The third proportional to 516 and 592.50 is: 680.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    516 : 592.50 = 592.50 : x
  2. Step 2: Convert to fraction form
    516/592.50 = 592.50/x
  3. Step 3: Cross multiply
    516x = 592.50 × 592.50
  4. Step 4: Simplify right side
    516x = 351,056.25
  5. Step 5: Solve for x
    x = 351,056.25/516
  6. Step 6: Final answer
    x = 680.34

Related Problems

Find third proportional to 258 and 296.25
Half scale
Find third proportional to 1,032 and 1,185
Double scale
Find third proportional to 518 and 595
Similar ratio
Find third proportional to 774 and 888.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.