Home / 947-1,464

Finding the Third Proportional to 947 and 1,464

Calculator

Solution

The third proportional to 947 and 1,464 is: 2,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    947 : 1,464 = 1,464 : x
  2. Step 2: Convert to fraction form
    947/1,464 = 1,464/x
  3. Step 3: Cross multiply
    947x = 1,464 × 1,464
  4. Step 4: Simplify right side
    947x = 2,143,296
  5. Step 5: Solve for x
    x = 2,143,296/947
  6. Step 6: Final answer
    x = 2,263.25

Related Problems

Find third proportional to 473.50 and 732
Half scale
Find third proportional to 1,894 and 2,928
Double scale
Find third proportional to 949 and 1,467
Similar ratio
Find third proportional to 1,420.50 and 2,196
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.