Home / 215,659-465,014

Finding the Third Proportional to 215,659 and 465,014

Calculator

Solution

The third proportional to 215,659 and 465,014 is: 1,002,684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,659 : 465,014 = 465,014 : x
  2. Step 2: Convert to fraction form
    215,659/465,014 = 465,014/x
  3. Step 3: Cross multiply
    215,659x = 465,014 × 465,014
  4. Step 4: Simplify right side
    215,659x = 216,238,020,196
  5. Step 5: Solve for x
    x = 216,238,020,196/215,659
  6. Step 6: Final answer
    x = 1,002,684.89

Related Problems

Find third proportional to 107,829.50 and 232,507
Half scale
Find third proportional to 431,318 and 930,028
Double scale
Find third proportional to 215,661 and 465,018
Similar ratio
Find third proportional to 323,488.50 and 697,521
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.