Home / 105,920-232,072

Finding the Third Proportional to 105,920 and 232,072

Calculator

Solution

The third proportional to 105,920 and 232,072 is: 508,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,920 : 232,072 = 232,072 : x
  2. Step 2: Convert to fraction form
    105,920/232,072 = 232,072/x
  3. Step 3: Cross multiply
    105,920x = 232,072 × 232,072
  4. Step 4: Simplify right side
    105,920x = 53,857,413,184
  5. Step 5: Solve for x
    x = 53,857,413,184/105,920
  6. Step 6: Final answer
    x = 508,472.56

Related Problems

Find third proportional to 52,960 and 116,036
Half scale
Find third proportional to 211,840 and 464,144
Double scale
Find third proportional to 105,922 and 232,076
Similar ratio
Find third proportional to 158,880 and 348,108
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.