Home / 138,408-299,010

Finding the Third Proportional to 138,408 and 299,010

Calculator

Solution

The third proportional to 138,408 and 299,010 is: 645,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,408 : 299,010 = 299,010 : x
  2. Step 2: Convert to fraction form
    138,408/299,010 = 299,010/x
  3. Step 3: Cross multiply
    138,408x = 299,010 × 299,010
  4. Step 4: Simplify right side
    138,408x = 89,406,980,100
  5. Step 5: Solve for x
    x = 89,406,980,100/138,408
  6. Step 6: Final answer
    x = 645,966.85

Related Problems

Find third proportional to 69,204 and 149,505
Half scale
Find third proportional to 276,816 and 598,020
Double scale
Find third proportional to 138,410 and 299,014
Similar ratio
Find third proportional to 207,612 and 448,515
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.