Home / 105,905-157,033

Finding the Third Proportional to 105,905 and 157,033

Calculator

Solution

The third proportional to 105,905 and 157,033 is: 232,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,905 : 157,033 = 157,033 : x
  2. Step 2: Convert to fraction form
    105,905/157,033 = 157,033/x
  3. Step 3: Cross multiply
    105,905x = 157,033 × 157,033
  4. Step 4: Simplify right side
    105,905x = 24,659,363,089
  5. Step 5: Solve for x
    x = 24,659,363,089/105,905
  6. Step 6: Final answer
    x = 232,844.18

Related Problems

Find third proportional to 52,952.50 and 78,516.50
Half scale
Find third proportional to 211,810 and 314,066
Double scale
Find third proportional to 105,907 and 157,036
Similar ratio
Find third proportional to 158,857.50 and 235,549.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.