Home / 6,569-14,413

Finding the Third Proportional to 6,569 and 14,413

Calculator

Solution

The third proportional to 6,569 and 14,413 is: 31,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569 : 14,413 = 14,413 : x
  2. Step 2: Convert to fraction form
    6,569/14,413 = 14,413/x
  3. Step 3: Cross multiply
    6,569x = 14,413 × 14,413
  4. Step 4: Simplify right side
    6,569x = 207,734,569
  5. Step 5: Solve for x
    x = 207,734,569/6,569
  6. Step 6: Final answer
    x = 31,623.47

Related Problems

Find third proportional to 3,284.50 and 7,206.50
Half scale
Find third proportional to 13,138 and 28,826
Double scale
Find third proportional to 6,571 and 14,417
Similar ratio
Find third proportional to 9,853.50 and 21,619.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.