Home / 291,102-462,897

Finding the Third Proportional to 291,102 and 462,897

Calculator

Solution

The third proportional to 291,102 and 462,897 is: 736,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,102 : 462,897 = 462,897 : x
  2. Step 2: Convert to fraction form
    291,102/462,897 = 462,897/x
  3. Step 3: Cross multiply
    291,102x = 462,897 × 462,897
  4. Step 4: Simplify right side
    291,102x = 214,273,632,609
  5. Step 5: Solve for x
    x = 214,273,632,609/291,102
  6. Step 6: Final answer
    x = 736,077.50

Related Problems

Find third proportional to 145,551 and 231,448.50
Half scale
Find third proportional to 582,204 and 925,794
Double scale
Find third proportional to 291,104 and 462,900
Similar ratio
Find third proportional to 436,653 and 694,345.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.