Home / 261,686-415,042

Finding the Third Proportional to 261,686 and 415,042

Calculator

Solution

The third proportional to 261,686 and 415,042 is: 658,269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,686 : 415,042 = 415,042 : x
  2. Step 2: Convert to fraction form
    261,686/415,042 = 415,042/x
  3. Step 3: Cross multiply
    261,686x = 415,042 × 415,042
  4. Step 4: Simplify right side
    261,686x = 172,259,861,764
  5. Step 5: Solve for x
    x = 172,259,861,764/261,686
  6. Step 6: Final answer
    x = 658,269.31

Related Problems

Find third proportional to 130,843 and 207,521
Half scale
Find third proportional to 523,372 and 830,084
Double scale
Find third proportional to 261,688 and 415,045
Similar ratio
Find third proportional to 392,529 and 622,563
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.