Home / 83,214-178,497

Finding the Third Proportional to 83,214 and 178,497

Calculator

Solution

The third proportional to 83,214 and 178,497 is: 382,882.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,214 : 178,497 = 178,497 : x
  2. Step 2: Convert to fraction form
    83,214/178,497 = 178,497/x
  3. Step 3: Cross multiply
    83,214x = 178,497 × 178,497
  4. Step 4: Simplify right side
    83,214x = 31,861,179,009
  5. Step 5: Solve for x
    x = 31,861,179,009/83,214
  6. Step 6: Final answer
    x = 382,882.44

Related Problems

Find third proportional to 41,607 and 89,248.50
Half scale
Find third proportional to 166,428 and 356,994
Double scale
Find third proportional to 83,216 and 178,501
Similar ratio
Find third proportional to 124,821 and 267,745.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.