Home / 69,421-149,638

Finding the Third Proportional to 69,421 and 149,638

Calculator

Solution

The third proportional to 69,421 and 149,638 is: 322,546.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,421 : 149,638 = 149,638 : x
  2. Step 2: Convert to fraction form
    69,421/149,638 = 149,638/x
  3. Step 3: Cross multiply
    69,421x = 149,638 × 149,638
  4. Step 4: Simplify right side
    69,421x = 22,391,531,044
  5. Step 5: Solve for x
    x = 22,391,531,044/69,421
  6. Step 6: Final answer
    x = 322,546.94

Related Problems

Find third proportional to 34,710.50 and 74,819
Half scale
Find third proportional to 138,842 and 299,276
Double scale
Find third proportional to 69,423 and 149,642
Similar ratio
Find third proportional to 104,131.50 and 224,457
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.