Home / 83,389-170,174

Finding the Third Proportional to 83,389 and 170,174

Calculator

Solution

The third proportional to 83,389 and 170,174 is: 347,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,389 : 170,174 = 170,174 : x
  2. Step 2: Convert to fraction form
    83,389/170,174 = 170,174/x
  3. Step 3: Cross multiply
    83,389x = 170,174 × 170,174
  4. Step 4: Simplify right side
    83,389x = 28,959,190,276
  5. Step 5: Solve for x
    x = 28,959,190,276/83,389
  6. Step 6: Final answer
    x = 347,278.30

Related Problems

Find third proportional to 41,694.50 and 85,087
Half scale
Find third proportional to 166,778 and 340,348
Double scale
Find third proportional to 83,391 and 170,178
Similar ratio
Find third proportional to 125,083.50 and 255,261
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.