Home / 510-780.25

Finding the Third Proportional to 510 and 780.25

Calculator

Solution

The third proportional to 510 and 780.25 is: 1,193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    510 : 780.25 = 780.25 : x
  2. Step 2: Convert to fraction form
    510/780.25 = 780.25/x
  3. Step 3: Cross multiply
    510x = 780.25 × 780.25
  4. Step 4: Simplify right side
    510x = 608,790.06
  5. Step 5: Solve for x
    x = 608,790.06/510
  6. Step 6: Final answer
    x = 1,193.71

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.