Home / 82,506-178,188

Finding the Third Proportional to 82,506 and 178,188

Calculator

Solution

The third proportional to 82,506 and 178,188 is: 384,832.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,506 : 178,188 = 178,188 : x
  2. Step 2: Convert to fraction form
    82,506/178,188 = 178,188/x
  3. Step 3: Cross multiply
    82,506x = 178,188 × 178,188
  4. Step 4: Simplify right side
    82,506x = 31,750,963,344
  5. Step 5: Solve for x
    x = 31,750,963,344/82,506
  6. Step 6: Final answer
    x = 384,832.17

Related Problems

Find third proportional to 41,253 and 89,094
Half scale
Find third proportional to 165,012 and 356,376
Double scale
Find third proportional to 82,508 and 178,192
Similar ratio
Find third proportional to 123,759 and 267,282
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.