Home / 6,357-9,654

Finding the Third Proportional to 6,357 and 9,654

Calculator

Solution

The third proportional to 6,357 and 9,654 is: 14,660.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357 : 9,654 = 9,654 : x
  2. Step 2: Convert to fraction form
    6,357/9,654 = 9,654/x
  3. Step 3: Cross multiply
    6,357x = 9,654 × 9,654
  4. Step 4: Simplify right side
    6,357x = 93,199,716
  5. Step 5: Solve for x
    x = 93,199,716/6,357
  6. Step 6: Final answer
    x = 14,660.96

Related Problems

Find third proportional to 3,178.50 and 4,827
Half scale
Find third proportional to 12,714 and 19,308
Double scale
Find third proportional to 6,359 and 9,657
Similar ratio
Find third proportional to 9,535.50 and 14,481
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.