Home / 10,306-14,208

Finding the Third Proportional to 10,306 and 14,208

Calculator

Solution

The third proportional to 10,306 and 14,208 is: 19,587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306 : 14,208 = 14,208 : x
  2. Step 2: Convert to fraction form
    10,306/14,208 = 14,208/x
  3. Step 3: Cross multiply
    10,306x = 14,208 × 14,208
  4. Step 4: Simplify right side
    10,306x = 201,867,264
  5. Step 5: Solve for x
    x = 201,867,264/10,306
  6. Step 6: Final answer
    x = 19,587.35

Related Problems

Find third proportional to 5,153 and 7,104
Half scale
Find third proportional to 20,612 and 28,416
Double scale
Find third proportional to 10,308 and 14,211
Similar ratio
Find third proportional to 15,459 and 21,312
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.