Home / 9,964-14,596

Finding the Third Proportional to 9,964 and 14,596

Calculator

Solution

The third proportional to 9,964 and 14,596 is: 21,381.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964 : 14,596 = 14,596 : x
  2. Step 2: Convert to fraction form
    9,964/14,596 = 14,596/x
  3. Step 3: Cross multiply
    9,964x = 14,596 × 14,596
  4. Step 4: Simplify right side
    9,964x = 213,043,216
  5. Step 5: Solve for x
    x = 213,043,216/9,964
  6. Step 6: Final answer
    x = 21,381.29

Related Problems

Find third proportional to 4,982 and 7,298
Half scale
Find third proportional to 19,928 and 29,192
Double scale
Find third proportional to 9,966 and 14,599
Similar ratio
Find third proportional to 14,946 and 21,894
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.