Home / 66,870-148,502

Finding the Third Proportional to 66,870 and 148,502

Calculator

Solution

The third proportional to 66,870 and 148,502 is: 329,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,870 : 148,502 = 148,502 : x
  2. Step 2: Convert to fraction form
    66,870/148,502 = 148,502/x
  3. Step 3: Cross multiply
    66,870x = 148,502 × 148,502
  4. Step 4: Simplify right side
    66,870x = 22,052,844,004
  5. Step 5: Solve for x
    x = 22,052,844,004/66,870
  6. Step 6: Final answer
    x = 329,786.81

Related Problems

Find third proportional to 33,435 and 74,251
Half scale
Find third proportional to 133,740 and 297,004
Double scale
Find third proportional to 66,872 and 148,506
Similar ratio
Find third proportional to 100,305 and 222,753
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.