Home / 478.13-564.19

Finding the Third Proportional to 478.13 and 564.19

Calculator

Solution

The third proportional to 478.13 and 564.19 is: 665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.13 : 564.19 = 564.19 : x
  2. Step 2: Convert to fraction form
    478.13/564.19 = 564.19/x
  3. Step 3: Cross multiply
    478.13x = 564.19 × 564.19
  4. Step 4: Simplify right side
    478.13x = 318,307.54
  5. Step 5: Solve for x
    x = 318,307.54/478.13
  6. Step 6: Final answer
    x = 665.74

Related Problems

Find third proportional to 239.06 and 282.09
Half scale
Find third proportional to 956.25 and 1,128.38
Double scale
Find third proportional to 480 and 567
Similar ratio
Find third proportional to 717.19 and 846.28
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.