Home / 321,508-698,365

Finding the Third Proportional to 321,508 and 698,365

Calculator

Solution

The third proportional to 321,508 and 698,365 is: 1,516,956.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,508 : 698,365 = 698,365 : x
  2. Step 2: Convert to fraction form
    321,508/698,365 = 698,365/x
  3. Step 3: Cross multiply
    321,508x = 698,365 × 698,365
  4. Step 4: Simplify right side
    321,508x = 487,713,673,225
  5. Step 5: Solve for x
    x = 487,713,673,225/321,508
  6. Step 6: Final answer
    x = 1,516,956.57

Related Problems

Find third proportional to 160,754 and 349,182.50
Half scale
Find third proportional to 643,016 and 1,396,730
Double scale
Find third proportional to 321,510 and 698,369
Similar ratio
Find third proportional to 482,262 and 1,047,547.50
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.