Home / 102,414-155,052

Finding the Third Proportional to 102,414 and 155,052

Calculator

Solution

The third proportional to 102,414 and 155,052 is: 234,744.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,414 : 155,052 = 155,052 : x
  2. Step 2: Convert to fraction form
    102,414/155,052 = 155,052/x
  3. Step 3: Cross multiply
    102,414x = 155,052 × 155,052
  4. Step 4: Simplify right side
    102,414x = 24,041,122,704
  5. Step 5: Solve for x
    x = 24,041,122,704/102,414
  6. Step 6: Final answer
    x = 234,744.49

Related Problems

Find third proportional to 51,207 and 77,526
Half scale
Find third proportional to 204,828 and 310,104
Double scale
Find third proportional to 102,416 and 155,055
Similar ratio
Find third proportional to 153,621 and 232,578
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.