Home / 138,710-209,523

Finding the Third Proportional to 138,710 and 209,523

Calculator

Solution

The third proportional to 138,710 and 209,523 is: 316,486.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,710 : 209,523 = 209,523 : x
  2. Step 2: Convert to fraction form
    138,710/209,523 = 209,523/x
  3. Step 3: Cross multiply
    138,710x = 209,523 × 209,523
  4. Step 4: Simplify right side
    138,710x = 43,899,887,529
  5. Step 5: Solve for x
    x = 43,899,887,529/138,710
  6. Step 6: Final answer
    x = 316,486.83

Related Problems

Find third proportional to 69,355 and 104,761.50
Half scale
Find third proportional to 277,420 and 419,046
Double scale
Find third proportional to 138,712 and 209,526
Similar ratio
Find third proportional to 208,065 and 314,284.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.