Home / 29,781-65,070

Finding the Third Proportional to 29,781 and 65,070

Calculator

Solution

The third proportional to 29,781 and 65,070 is: 142,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,781 : 65,070 = 65,070 : x
  2. Step 2: Convert to fraction form
    29,781/65,070 = 65,070/x
  3. Step 3: Cross multiply
    29,781x = 65,070 × 65,070
  4. Step 4: Simplify right side
    29,781x = 4,234,104,900
  5. Step 5: Solve for x
    x = 4,234,104,900/29,781
  6. Step 6: Final answer
    x = 142,174.71

Related Problems

Find third proportional to 14,890.50 and 32,535
Half scale
Find third proportional to 59,562 and 130,140
Double scale
Find third proportional to 29,783 and 65,074
Similar ratio
Find third proportional to 44,671.50 and 97,605
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.