Home / 137,520-218,821.50

Finding the Third Proportional to 137,520 and 218,821.50

Calculator

Solution

The third proportional to 137,520 and 218,821.50 is: 348,188.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,520 : 218,821.50 = 218,821.50 : x
  2. Step 2: Convert to fraction form
    137,520/218,821.50 = 218,821.50/x
  3. Step 3: Cross multiply
    137,520x = 218,821.50 × 218,821.50
  4. Step 4: Simplify right side
    137,520x = 47,882,848,862.25
  5. Step 5: Solve for x
    x = 47,882,848,862.25/137,520
  6. Step 6: Final answer
    x = 348,188.26

Related Problems

Find third proportional to 68,760 and 109,410.75
Half scale
Find third proportional to 275,040 and 437,643
Double scale
Find third proportional to 137,522 and 218,825
Similar ratio
Find third proportional to 206,280 and 328,232.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.