Home / 748-1,580

Finding the Third Proportional to 748 and 1,580

Calculator

Solution

The third proportional to 748 and 1,580 is: 3,337.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    748 : 1,580 = 1,580 : x
  2. Step 2: Convert to fraction form
    748/1,580 = 1,580/x
  3. Step 3: Cross multiply
    748x = 1,580 × 1,580
  4. Step 4: Simplify right side
    748x = 2,496,400
  5. Step 5: Solve for x
    x = 2,496,400/748
  6. Step 6: Final answer
    x = 3,337.43

Related Problems

Find third proportional to 374 and 790
Half scale
Find third proportional to 1,496 and 3,160
Double scale
Find third proportional to 750 and 1,584
Similar ratio
Find third proportional to 1,122 and 2,370
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.