Home / 578.25-1,237.50

Finding the Third Proportional to 578.25 and 1,237.50

Calculator

Solution

The third proportional to 578.25 and 1,237.50 is: 2,648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.25 : 1,237.50 = 1,237.50 : x
  2. Step 2: Convert to fraction form
    578.25/1,237.50 = 1,237.50/x
  3. Step 3: Cross multiply
    578.25x = 1,237.50 × 1,237.50
  4. Step 4: Simplify right side
    578.25x = 1,531,406.25
  5. Step 5: Solve for x
    x = 1,531,406.25/578.25
  6. Step 6: Final answer
    x = 2,648.35

Related Problems

Find third proportional to 289.13 and 618.75
Half scale
Find third proportional to 1,156.50 and 2,475
Double scale
Find third proportional to 580 and 1,242
Similar ratio
Find third proportional to 867.38 and 1,856.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.