Home / 149,394-312,639

Finding the Third Proportional to 149,394 and 312,639

Calculator

Solution

The third proportional to 149,394 and 312,639 is: 654,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,394 : 312,639 = 312,639 : x
  2. Step 2: Convert to fraction form
    149,394/312,639 = 312,639/x
  3. Step 3: Cross multiply
    149,394x = 312,639 × 312,639
  4. Step 4: Simplify right side
    149,394x = 97,743,144,321
  5. Step 5: Solve for x
    x = 97,743,144,321/149,394
  6. Step 6: Final answer
    x = 654,264.19

Related Problems

Find third proportional to 74,697 and 156,319.50
Half scale
Find third proportional to 298,788 and 625,278
Double scale
Find third proportional to 149,396 and 312,643
Similar ratio
Find third proportional to 224,091 and 468,958.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.