Home / 787.50-1,730.25

Finding the Third Proportional to 787.50 and 1,730.25

Calculator

Solution

The third proportional to 787.50 and 1,730.25 is: 3,801.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.50 : 1,730.25 = 1,730.25 : x
  2. Step 2: Convert to fraction form
    787.50/1,730.25 = 1,730.25/x
  3. Step 3: Cross multiply
    787.50x = 1,730.25 × 1,730.25
  4. Step 4: Simplify right side
    787.50x = 2,993,765.06
  5. Step 5: Solve for x
    x = 2,993,765.06/787.50
  6. Step 6: Final answer
    x = 3,801.61

Related Problems

Find third proportional to 393.75 and 865.13
Half scale
Find third proportional to 1,575 and 3,460.50
Double scale
Find third proportional to 790 and 1,735
Similar ratio
Find third proportional to 1,181.25 and 2,595.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.