Home / 9,784-15,506

Finding the Third Proportional to 9,784 and 15,506

Calculator

Solution

The third proportional to 9,784 and 15,506 is: 24,574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784 : 15,506 = 15,506 : x
  2. Step 2: Convert to fraction form
    9,784/15,506 = 15,506/x
  3. Step 3: Cross multiply
    9,784x = 15,506 × 15,506
  4. Step 4: Simplify right side
    9,784x = 240,436,036
  5. Step 5: Solve for x
    x = 240,436,036/9,784
  6. Step 6: Final answer
    x = 24,574.41

Related Problems

Find third proportional to 4,892 and 7,753
Half scale
Find third proportional to 19,568 and 31,012
Double scale
Find third proportional to 9,786 and 15,509
Similar ratio
Find third proportional to 14,676 and 23,259
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.