Home / 9,700-14,832

Finding the Third Proportional to 9,700 and 14,832

Calculator

Solution

The third proportional to 9,700 and 14,832 is: 22,679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700 : 14,832 = 14,832 : x
  2. Step 2: Convert to fraction form
    9,700/14,832 = 14,832/x
  3. Step 3: Cross multiply
    9,700x = 14,832 × 14,832
  4. Step 4: Simplify right side
    9,700x = 219,988,224
  5. Step 5: Solve for x
    x = 219,988,224/9,700
  6. Step 6: Final answer
    x = 22,679.20

Related Problems

Find third proportional to 4,850 and 7,416
Half scale
Find third proportional to 19,400 and 29,664
Double scale
Find third proportional to 9,702 and 14,835
Similar ratio
Find third proportional to 14,550 and 22,248
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.