Home / 66,205-85,006

Finding the Third Proportional to 66,205 and 85,006

Calculator

Solution

The third proportional to 66,205 and 85,006 is: 109,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,205 : 85,006 = 85,006 : x
  2. Step 2: Convert to fraction form
    66,205/85,006 = 85,006/x
  3. Step 3: Cross multiply
    66,205x = 85,006 × 85,006
  4. Step 4: Simplify right side
    66,205x = 7,226,020,036
  5. Step 5: Solve for x
    x = 7,226,020,036/66,205
  6. Step 6: Final answer
    x = 109,146.14

Related Problems

Find third proportional to 33,102.50 and 42,503
Half scale
Find third proportional to 132,410 and 170,012
Double scale
Find third proportional to 66,207 and 85,009
Similar ratio
Find third proportional to 99,307.50 and 127,509
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.