Home / 12,370-19,315

Finding the Third Proportional to 12,370 and 19,315

Calculator

Solution

The third proportional to 12,370 and 19,315 is: 30,159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,370 : 19,315 = 19,315 : x
  2. Step 2: Convert to fraction form
    12,370/19,315 = 19,315/x
  3. Step 3: Cross multiply
    12,370x = 19,315 × 19,315
  4. Step 4: Simplify right side
    12,370x = 373,069,225
  5. Step 5: Solve for x
    x = 373,069,225/12,370
  6. Step 6: Final answer
    x = 30,159.19

Related Problems

Find third proportional to 6,185 and 9,657.50
Half scale
Find third proportional to 24,740 and 38,630
Double scale
Find third proportional to 12,372 and 19,318
Similar ratio
Find third proportional to 18,555 and 28,972.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.