Home / 321,471-698,307

Finding the Third Proportional to 321,471 and 698,307

Calculator

Solution

The third proportional to 321,471 and 698,307 is: 1,516,879.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,471 : 698,307 = 698,307 : x
  2. Step 2: Convert to fraction form
    321,471/698,307 = 698,307/x
  3. Step 3: Cross multiply
    321,471x = 698,307 × 698,307
  4. Step 4: Simplify right side
    321,471x = 487,632,666,249
  5. Step 5: Solve for x
    x = 487,632,666,249/321,471
  6. Step 6: Final answer
    x = 1,516,879.18

Related Problems

Find third proportional to 160,735.50 and 349,153.50
Half scale
Find third proportional to 642,942 and 1,396,614
Double scale
Find third proportional to 321,473 and 698,311
Similar ratio
Find third proportional to 482,206.50 and 1,047,460.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.