Home / 532,098-782,586

Finding the Third Proportional to 532,098 and 782,586

Calculator

Solution

The third proportional to 532,098 and 782,586 is: 1,150,992.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,098 : 782,586 = 782,586 : x
  2. Step 2: Convert to fraction form
    532,098/782,586 = 782,586/x
  3. Step 3: Cross multiply
    532,098x = 782,586 × 782,586
  4. Step 4: Simplify right side
    532,098x = 612,440,847,396
  5. Step 5: Solve for x
    x = 612,440,847,396/532,098
  6. Step 6: Final answer
    x = 1,150,992.58

Related Problems

Find third proportional to 266,049 and 391,293
Half scale
Find third proportional to 1,064,196 and 1,565,172
Double scale
Find third proportional to 532,100 and 782,589
Similar ratio
Find third proportional to 798,147 and 1,173,879
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.