Home / 9,714-15,654

Finding the Third Proportional to 9,714 and 15,654

Calculator

Solution

The third proportional to 9,714 and 15,654 is: 25,226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714 : 15,654 = 15,654 : x
  2. Step 2: Convert to fraction form
    9,714/15,654 = 15,654/x
  3. Step 3: Cross multiply
    9,714x = 15,654 × 15,654
  4. Step 4: Simplify right side
    9,714x = 245,047,716
  5. Step 5: Solve for x
    x = 245,047,716/9,714
  6. Step 6: Final answer
    x = 25,226.24

Related Problems

Find third proportional to 4,857 and 7,827
Half scale
Find third proportional to 19,428 and 31,308
Double scale
Find third proportional to 9,716 and 15,657
Similar ratio
Find third proportional to 14,571 and 23,481
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.