Home / 160,506-214,731

Finding the Third Proportional to 160,506 and 214,731

Calculator

Solution

The third proportional to 160,506 and 214,731 is: 287,275.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,506 : 214,731 = 214,731 : x
  2. Step 2: Convert to fraction form
    160,506/214,731 = 214,731/x
  3. Step 3: Cross multiply
    160,506x = 214,731 × 214,731
  4. Step 4: Simplify right side
    160,506x = 46,109,402,361
  5. Step 5: Solve for x
    x = 46,109,402,361/160,506
  6. Step 6: Final answer
    x = 287,275.26

Related Problems

Find third proportional to 80,253 and 107,365.50
Half scale
Find third proportional to 321,012 and 429,462
Double scale
Find third proportional to 160,508 and 214,734
Similar ratio
Find third proportional to 240,759 and 322,096.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.