Home / 14,569-31,215

Finding the Third Proportional to 14,569 and 31,215

Calculator

Solution

The third proportional to 14,569 and 31,215 is: 66,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569 : 31,215 = 31,215 : x
  2. Step 2: Convert to fraction form
    14,569/31,215 = 31,215/x
  3. Step 3: Cross multiply
    14,569x = 31,215 × 31,215
  4. Step 4: Simplify right side
    14,569x = 974,376,225
  5. Step 5: Solve for x
    x = 974,376,225/14,569
  6. Step 6: Final answer
    x = 66,880.10

Related Problems

Find third proportional to 7,284.50 and 15,607.50
Half scale
Find third proportional to 29,138 and 62,430
Double scale
Find third proportional to 14,571 and 31,219
Similar ratio
Find third proportional to 21,853.50 and 46,822.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.