Home / 8,564-14,844

Finding the Third Proportional to 8,564 and 14,844

Calculator

Solution

The third proportional to 8,564 and 14,844 is: 25,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564 : 14,844 = 14,844 : x
  2. Step 2: Convert to fraction form
    8,564/14,844 = 14,844/x
  3. Step 3: Cross multiply
    8,564x = 14,844 × 14,844
  4. Step 4: Simplify right side
    8,564x = 220,344,336
  5. Step 5: Solve for x
    x = 220,344,336/8,564
  6. Step 6: Final answer
    x = 25,729.14

Related Problems

Find third proportional to 4,282 and 7,422
Half scale
Find third proportional to 17,128 and 29,688
Double scale
Find third proportional to 8,566 and 14,847
Similar ratio
Find third proportional to 12,846 and 22,266
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.