Home / 315.75-466.13

Finding the Third Proportional to 315.75 and 466.13

Calculator

Solution

The third proportional to 315.75 and 466.13 is: 688.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.75 : 466.13 = 466.13 : x
  2. Step 2: Convert to fraction form
    315.75/466.13 = 466.13/x
  3. Step 3: Cross multiply
    315.75x = 466.13 × 466.13
  4. Step 4: Simplify right side
    315.75x = 217,272.52
  5. Step 5: Solve for x
    x = 217,272.52/315.75
  6. Step 6: Final answer
    x = 688.12

Related Problems

Find third proportional to 157.88 and 233.06
Half scale
Find third proportional to 631.50 and 932.25
Double scale
Find third proportional to 318 and 469
Similar ratio
Find third proportional to 473.63 and 699.19
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.