Home / 133,730-293,701

Finding the Third Proportional to 133,730 and 293,701

Calculator

Solution

The third proportional to 133,730 and 293,701 is: 645,033.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,730 : 293,701 = 293,701 : x
  2. Step 2: Convert to fraction form
    133,730/293,701 = 293,701/x
  3. Step 3: Cross multiply
    133,730x = 293,701 × 293,701
  4. Step 4: Simplify right side
    133,730x = 86,260,277,401
  5. Step 5: Solve for x
    x = 86,260,277,401/133,730
  6. Step 6: Final answer
    x = 645,033.11

Related Problems

Find third proportional to 66,865 and 146,850.50
Half scale
Find third proportional to 267,460 and 587,402
Double scale
Find third proportional to 133,732 and 293,705
Similar ratio
Find third proportional to 200,595 and 440,551.50
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.