Home / 313,590-471,090

Finding the Third Proportional to 313,590 and 471,090

Calculator

Solution

The third proportional to 313,590 and 471,090 is: 707,694.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,590 : 471,090 = 471,090 : x
  2. Step 2: Convert to fraction form
    313,590/471,090 = 471,090/x
  3. Step 3: Cross multiply
    313,590x = 471,090 × 471,090
  4. Step 4: Simplify right side
    313,590x = 221,925,788,100
  5. Step 5: Solve for x
    x = 221,925,788,100/313,590
  6. Step 6: Final answer
    x = 707,694.08

Related Problems

Find third proportional to 156,795 and 235,545
Half scale
Find third proportional to 627,180 and 942,180
Double scale
Find third proportional to 313,592 and 471,093
Similar ratio
Find third proportional to 470,385 and 706,635
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.