Home / 261,709-415,091

Finding the Third Proportional to 261,709 and 415,091

Calculator

Solution

The third proportional to 261,709 and 415,091 is: 658,366.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,709 : 415,091 = 415,091 : x
  2. Step 2: Convert to fraction form
    261,709/415,091 = 415,091/x
  3. Step 3: Cross multiply
    261,709x = 415,091 × 415,091
  4. Step 4: Simplify right side
    261,709x = 172,300,538,281
  5. Step 5: Solve for x
    x = 172,300,538,281/261,709
  6. Step 6: Final answer
    x = 658,366.88

Related Problems

Find third proportional to 130,854.50 and 207,545.50
Half scale
Find third proportional to 523,418 and 830,182
Double scale
Find third proportional to 261,711 and 415,094
Similar ratio
Find third proportional to 392,563.50 and 622,636.50
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.