Home / 1,098-1,566

Finding the Third Proportional to 1,098 and 1,566

Calculator

Solution

The third proportional to 1,098 and 1,566 is: 2,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098 : 1,566 = 1,566 : x
  2. Step 2: Convert to fraction form
    1,098/1,566 = 1,566/x
  3. Step 3: Cross multiply
    1,098x = 1,566 × 1,566
  4. Step 4: Simplify right side
    1,098x = 2,452,356
  5. Step 5: Solve for x
    x = 2,452,356/1,098
  6. Step 6: Final answer
    x = 2,233.48

Related Problems

Find third proportional to 549 and 783
Half scale
Find third proportional to 2,196 and 3,132
Double scale
Find third proportional to 1,100 and 1,569
Similar ratio
Find third proportional to 1,647 and 2,349
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.