Home / 207,198-292,459

Finding the Third Proportional to 207,198 and 292,459

Calculator

Solution

The third proportional to 207,198 and 292,459 is: 412,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,198 : 292,459 = 292,459 : x
  2. Step 2: Convert to fraction form
    207,198/292,459 = 292,459/x
  3. Step 3: Cross multiply
    207,198x = 292,459 × 292,459
  4. Step 4: Simplify right side
    207,198x = 85,532,266,681
  5. Step 5: Solve for x
    x = 85,532,266,681/207,198
  6. Step 6: Final answer
    x = 412,804.50

Related Problems

Find third proportional to 103,599 and 146,229.50
Half scale
Find third proportional to 414,396 and 584,918
Double scale
Find third proportional to 207,200 and 292,462
Similar ratio
Find third proportional to 310,797 and 438,688.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.