Home / 66,738-103,302

Finding the Third Proportional to 66,738 and 103,302

Calculator

Solution

The third proportional to 66,738 and 103,302 is: 159,898.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,738 : 103,302 = 103,302 : x
  2. Step 2: Convert to fraction form
    66,738/103,302 = 103,302/x
  3. Step 3: Cross multiply
    66,738x = 103,302 × 103,302
  4. Step 4: Simplify right side
    66,738x = 10,671,303,204
  5. Step 5: Solve for x
    x = 10,671,303,204/66,738
  6. Step 6: Final answer
    x = 159,898.46

Related Problems

Find third proportional to 33,369 and 51,651
Half scale
Find third proportional to 133,476 and 206,604
Double scale
Find third proportional to 66,740 and 103,305
Similar ratio
Find third proportional to 100,107 and 154,953
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.