Home / 8,784-12,546

Finding the Third Proportional to 8,784 and 12,546

Calculator

Solution

The third proportional to 8,784 and 12,546 is: 17,919.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784 : 12,546 = 12,546 : x
  2. Step 2: Convert to fraction form
    8,784/12,546 = 12,546/x
  3. Step 3: Cross multiply
    8,784x = 12,546 × 12,546
  4. Step 4: Simplify right side
    8,784x = 157,402,116
  5. Step 5: Solve for x
    x = 157,402,116/8,784
  6. Step 6: Final answer
    x = 17,919.18

Related Problems

Find third proportional to 4,392 and 6,273
Half scale
Find third proportional to 17,568 and 25,092
Double scale
Find third proportional to 8,786 and 12,549
Similar ratio
Find third proportional to 13,176 and 18,819
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.