Home / 10,784-14,558

Finding the Third Proportional to 10,784 and 14,558

Calculator

Solution

The third proportional to 10,784 and 14,558 is: 19,652.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784 : 14,558 = 14,558 : x
  2. Step 2: Convert to fraction form
    10,784/14,558 = 14,558/x
  3. Step 3: Cross multiply
    10,784x = 14,558 × 14,558
  4. Step 4: Simplify right side
    10,784x = 211,935,364
  5. Step 5: Solve for x
    x = 211,935,364/10,784
  6. Step 6: Final answer
    x = 19,652.76

Related Problems

Find third proportional to 5,392 and 7,279
Half scale
Find third proportional to 21,568 and 29,116
Double scale
Find third proportional to 10,786 and 14,561
Similar ratio
Find third proportional to 16,176 and 21,837
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.