Home / 577.50-830

Finding the Third Proportional to 577.50 and 830

Calculator

Solution

The third proportional to 577.50 and 830 is: 1,192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.50 : 830 = 830 : x
  2. Step 2: Convert to fraction form
    577.50/830 = 830/x
  3. Step 3: Cross multiply
    577.50x = 830 × 830
  4. Step 4: Simplify right side
    577.50x = 688,900
  5. Step 5: Solve for x
    x = 688,900/577.50
  6. Step 6: Final answer
    x = 1,192.90

Related Problems

Find third proportional to 288.75 and 415
Half scale
Find third proportional to 1,155 and 1,660
Double scale
Find third proportional to 580 and 833
Similar ratio
Find third proportional to 866.25 and 1,245
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.