Home / 461,569-698,719

Finding the Third Proportional to 461,569 and 698,719

Calculator

Solution

The third proportional to 461,569 and 698,719 is: 1,057,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,569 : 698,719 = 698,719 : x
  2. Step 2: Convert to fraction form
    461,569/698,719 = 698,719/x
  3. Step 3: Cross multiply
    461,569x = 698,719 × 698,719
  4. Step 4: Simplify right side
    461,569x = 488,208,240,961
  5. Step 5: Solve for x
    x = 488,208,240,961/461,569
  6. Step 6: Final answer
    x = 1,057,714.54

Related Problems

Find third proportional to 230,784.50 and 349,359.50
Half scale
Find third proportional to 923,138 and 1,397,438
Double scale
Find third proportional to 461,571 and 698,722
Similar ratio
Find third proportional to 692,353.50 and 1,048,078.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.