Home / 4,684-10,312

Finding the Third Proportional to 4,684 and 10,312

Calculator

Solution

The third proportional to 4,684 and 10,312 is: 22,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684 : 10,312 = 10,312 : x
  2. Step 2: Convert to fraction form
    4,684/10,312 = 10,312/x
  3. Step 3: Cross multiply
    4,684x = 10,312 × 10,312
  4. Step 4: Simplify right side
    4,684x = 106,337,344
  5. Step 5: Solve for x
    x = 106,337,344/4,684
  6. Step 6: Final answer
    x = 22,702.25

Related Problems

Find third proportional to 2,342 and 5,156
Half scale
Find third proportional to 9,368 and 20,624
Double scale
Find third proportional to 4,686 and 10,316
Similar ratio
Find third proportional to 7,026 and 15,468
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.