Home / 32,522-66,580

Finding the Third Proportional to 32,522 and 66,580

Calculator

Solution

The third proportional to 32,522 and 66,580 is: 136,304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,522 : 66,580 = 66,580 : x
  2. Step 2: Convert to fraction form
    32,522/66,580 = 66,580/x
  3. Step 3: Cross multiply
    32,522x = 66,580 × 66,580
  4. Step 4: Simplify right side
    32,522x = 4,432,896,400
  5. Step 5: Solve for x
    x = 4,432,896,400/32,522
  6. Step 6: Final answer
    x = 136,304.54

Related Problems

Find third proportional to 16,261 and 33,290
Half scale
Find third proportional to 65,044 and 133,160
Double scale
Find third proportional to 32,524 and 66,584
Similar ratio
Find third proportional to 48,783 and 99,870
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.