Home / 10,506-14,708

Finding the Third Proportional to 10,506 and 14,708

Calculator

Solution

The third proportional to 10,506 and 14,708 is: 20,590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506 : 14,708 = 14,708 : x
  2. Step 2: Convert to fraction form
    10,506/14,708 = 14,708/x
  3. Step 3: Cross multiply
    10,506x = 14,708 × 14,708
  4. Step 4: Simplify right side
    10,506x = 216,325,264
  5. Step 5: Solve for x
    x = 216,325,264/10,506
  6. Step 6: Final answer
    x = 20,590.64

Related Problems

Find third proportional to 5,253 and 7,354
Half scale
Find third proportional to 21,012 and 29,416
Double scale
Find third proportional to 10,508 and 14,711
Similar ratio
Find third proportional to 15,759 and 22,062
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.