Home / 32,564-66,856

Finding the Third Proportional to 32,564 and 66,856

Calculator

Solution

The third proportional to 32,564 and 66,856 is: 137,259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,564 : 66,856 = 66,856 : x
  2. Step 2: Convert to fraction form
    32,564/66,856 = 66,856/x
  3. Step 3: Cross multiply
    32,564x = 66,856 × 66,856
  4. Step 4: Simplify right side
    32,564x = 4,469,724,736
  5. Step 5: Solve for x
    x = 4,469,724,736/32,564
  6. Step 6: Final answer
    x = 137,259.70

Related Problems

Find third proportional to 16,282 and 33,428
Half scale
Find third proportional to 65,128 and 133,712
Double scale
Find third proportional to 32,566 and 66,860
Similar ratio
Find third proportional to 48,846 and 100,284
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.