Home / 6,738-14,580

Finding the Third Proportional to 6,738 and 14,580

Calculator

Solution

The third proportional to 6,738 and 14,580 is: 31,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738 : 14,580 = 14,580 : x
  2. Step 2: Convert to fraction form
    6,738/14,580 = 14,580/x
  3. Step 3: Cross multiply
    6,738x = 14,580 × 14,580
  4. Step 4: Simplify right side
    6,738x = 212,576,400
  5. Step 5: Solve for x
    x = 212,576,400/6,738
  6. Step 6: Final answer
    x = 31,548.89

Related Problems

Find third proportional to 3,369 and 7,290
Half scale
Find third proportional to 13,476 and 29,160
Double scale
Find third proportional to 6,740 and 14,584
Similar ratio
Find third proportional to 10,107 and 21,870
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.