Home / 117,706-177,659

Finding the Third Proportional to 117,706 and 177,659

Calculator

Solution

The third proportional to 117,706 and 177,659 is: 268,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,706 : 177,659 = 177,659 : x
  2. Step 2: Convert to fraction form
    117,706/177,659 = 177,659/x
  3. Step 3: Cross multiply
    117,706x = 177,659 × 177,659
  4. Step 4: Simplify right side
    117,706x = 31,562,720,281
  5. Step 5: Solve for x
    x = 31,562,720,281/117,706
  6. Step 6: Final answer
    x = 268,148.78

Related Problems

Find third proportional to 58,853 and 88,829.50
Half scale
Find third proportional to 235,412 and 355,318
Double scale
Find third proportional to 117,708 and 177,662
Similar ratio
Find third proportional to 176,559 and 266,488.50
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.