Home / 103,744-164,688

Finding the Third Proportional to 103,744 and 164,688

Calculator

Solution

The third proportional to 103,744 and 164,688 is: 261,433.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,744 : 164,688 = 164,688 : x
  2. Step 2: Convert to fraction form
    103,744/164,688 = 164,688/x
  3. Step 3: Cross multiply
    103,744x = 164,688 × 164,688
  4. Step 4: Simplify right side
    103,744x = 27,122,137,344
  5. Step 5: Solve for x
    x = 27,122,137,344/103,744
  6. Step 6: Final answer
    x = 261,433.31

Related Problems

Find third proportional to 51,872 and 82,344
Half scale
Find third proportional to 207,488 and 329,376
Double scale
Find third proportional to 103,746 and 164,691
Similar ratio
Find third proportional to 155,616 and 247,032
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.