Home / 147,114-314,964

Finding the Third Proportional to 147,114 and 314,964

Calculator

Solution

The third proportional to 147,114 and 314,964 is: 674,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,114 : 314,964 = 314,964 : x
  2. Step 2: Convert to fraction form
    147,114/314,964 = 314,964/x
  3. Step 3: Cross multiply
    147,114x = 314,964 × 314,964
  4. Step 4: Simplify right side
    147,114x = 99,202,321,296
  5. Step 5: Solve for x
    x = 99,202,321,296/147,114
  6. Step 6: Final answer
    x = 674,322.78

Related Problems

Find third proportional to 73,557 and 157,482
Half scale
Find third proportional to 294,228 and 629,928
Double scale
Find third proportional to 147,116 and 314,968
Similar ratio
Find third proportional to 220,671 and 472,446
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.