Home / 66,500-105,287

Finding the Third Proportional to 66,500 and 105,287

Calculator

Solution

The third proportional to 66,500 and 105,287 is: 166,697.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,500 : 105,287 = 105,287 : x
  2. Step 2: Convert to fraction form
    66,500/105,287 = 105,287/x
  3. Step 3: Cross multiply
    66,500x = 105,287 × 105,287
  4. Step 4: Simplify right side
    66,500x = 11,085,352,369
  5. Step 5: Solve for x
    x = 11,085,352,369/66,500
  6. Step 6: Final answer
    x = 166,697.03

Related Problems

Find third proportional to 33,250 and 52,643.50
Half scale
Find third proportional to 133,000 and 210,574
Double scale
Find third proportional to 66,502 and 105,290
Similar ratio
Find third proportional to 99,750 and 157,930.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.