Home / 32,319-47,413

Finding the Third Proportional to 32,319 and 47,413

Calculator

Solution

The third proportional to 32,319 and 47,413 is: 69,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,319 : 47,413 = 47,413 : x
  2. Step 2: Convert to fraction form
    32,319/47,413 = 47,413/x
  3. Step 3: Cross multiply
    32,319x = 47,413 × 47,413
  4. Step 4: Simplify right side
    32,319x = 2,247,992,569
  5. Step 5: Solve for x
    x = 2,247,992,569/32,319
  6. Step 6: Final answer
    x = 69,556.38

Related Problems

Find third proportional to 16,159.50 and 23,706.50
Half scale
Find third proportional to 64,638 and 94,826
Double scale
Find third proportional to 32,321 and 47,416
Similar ratio
Find third proportional to 48,478.50 and 71,119.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.