Home / 5,307-9,738

Finding the Third Proportional to 5,307 and 9,738

Calculator

Solution

The third proportional to 5,307 and 9,738 is: 17,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307 : 9,738 = 9,738 : x
  2. Step 2: Convert to fraction form
    5,307/9,738 = 9,738/x
  3. Step 3: Cross multiply
    5,307x = 9,738 × 9,738
  4. Step 4: Simplify right side
    5,307x = 94,828,644
  5. Step 5: Solve for x
    x = 94,828,644/5,307
  6. Step 6: Final answer
    x = 17,868.60

Related Problems

Find third proportional to 2,653.50 and 4,869
Half scale
Find third proportional to 10,614 and 19,476
Double scale
Find third proportional to 5,309 and 9,742
Similar ratio
Find third proportional to 7,960.50 and 14,607
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.