Home / 10,466-14,638

Finding the Third Proportional to 10,466 and 14,638

Calculator

Solution

The third proportional to 10,466 and 14,638 is: 20,473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466 : 14,638 = 14,638 : x
  2. Step 2: Convert to fraction form
    10,466/14,638 = 14,638/x
  3. Step 3: Cross multiply
    10,466x = 14,638 × 14,638
  4. Step 4: Simplify right side
    10,466x = 214,271,044
  5. Step 5: Solve for x
    x = 214,271,044/10,466
  6. Step 6: Final answer
    x = 20,473.06

Related Problems

Find third proportional to 5,233 and 7,319
Half scale
Find third proportional to 20,932 and 29,276
Double scale
Find third proportional to 10,468 and 14,641
Similar ratio
Find third proportional to 15,699 and 21,957
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.