Home / 83,000-178,095

Finding the Third Proportional to 83,000 and 178,095

Calculator

Solution

The third proportional to 83,000 and 178,095 is: 382,142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,000 : 178,095 = 178,095 : x
  2. Step 2: Convert to fraction form
    83,000/178,095 = 178,095/x
  3. Step 3: Cross multiply
    83,000x = 178,095 × 178,095
  4. Step 4: Simplify right side
    83,000x = 31,717,829,025
  5. Step 5: Solve for x
    x = 31,717,829,025/83,000
  6. Step 6: Final answer
    x = 382,142.52

Related Problems

Find third proportional to 41,500 and 89,047.50
Half scale
Find third proportional to 166,000 and 356,190
Double scale
Find third proportional to 83,002 and 178,099
Similar ratio
Find third proportional to 124,500 and 267,142.50
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.