Home / 10,038-11,658

Finding the Third Proportional to 10,038 and 11,658

Calculator

Solution

The third proportional to 10,038 and 11,658 is: 13,539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038 : 11,658 = 11,658 : x
  2. Step 2: Convert to fraction form
    10,038/11,658 = 11,658/x
  3. Step 3: Cross multiply
    10,038x = 11,658 × 11,658
  4. Step 4: Simplify right side
    10,038x = 135,908,964
  5. Step 5: Solve for x
    x = 135,908,964/10,038
  6. Step 6: Final answer
    x = 13,539.45

Related Problems

Find third proportional to 5,019 and 5,829
Half scale
Find third proportional to 20,076 and 23,316
Double scale
Find third proportional to 10,040 and 11,660
Similar ratio
Find third proportional to 15,057 and 17,487
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.