Home / 133,713-293,670

Finding the Third Proportional to 133,713 and 293,670

Calculator

Solution

The third proportional to 133,713 and 293,670 is: 644,978.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,713 : 293,670 = 293,670 : x
  2. Step 2: Convert to fraction form
    133,713/293,670 = 293,670/x
  3. Step 3: Cross multiply
    133,713x = 293,670 × 293,670
  4. Step 4: Simplify right side
    133,713x = 86,242,068,900
  5. Step 5: Solve for x
    x = 86,242,068,900/133,713
  6. Step 6: Final answer
    x = 644,978.94

Related Problems

Find third proportional to 66,856.50 and 146,835
Half scale
Find third proportional to 267,426 and 587,340
Double scale
Find third proportional to 133,715 and 293,674
Similar ratio
Find third proportional to 200,569.50 and 440,505
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.