Home / 489-564

Finding the Third Proportional to 489 and 564

Calculator

Solution

The third proportional to 489 and 564 is: 650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    489 : 564 = 564 : x
  2. Step 2: Convert to fraction form
    489/564 = 564/x
  3. Step 3: Cross multiply
    489x = 564 × 564
  4. Step 4: Simplify right side
    489x = 318,096
  5. Step 5: Solve for x
    x = 318,096/489
  6. Step 6: Final answer
    x = 650.50

Related Problems

Find third proportional to 244.50 and 282
Half scale
Find third proportional to 978 and 1,128
Double scale
Find third proportional to 491 and 566
Similar ratio
Find third proportional to 733.50 and 846
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.