Home / 455,466-680,686

Finding the Third Proportional to 455,466 and 680,686

Calculator

Solution

The third proportional to 455,466 and 680,686 is: 1,017,273.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,466 : 680,686 = 680,686 : x
  2. Step 2: Convert to fraction form
    455,466/680,686 = 680,686/x
  3. Step 3: Cross multiply
    455,466x = 680,686 × 680,686
  4. Step 4: Simplify right side
    455,466x = 463,333,430,596
  5. Step 5: Solve for x
    x = 463,333,430,596/455,466
  6. Step 6: Final answer
    x = 1,017,273.37

Related Problems

Find third proportional to 227,733 and 340,343
Half scale
Find third proportional to 910,932 and 1,361,372
Double scale
Find third proportional to 455,468 and 680,689
Similar ratio
Find third proportional to 683,199 and 1,021,029
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.