Home / 137,820-292,038

Finding the Third Proportional to 137,820 and 292,038

Calculator

Solution

The third proportional to 137,820 and 292,038 is: 618,823.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,820 : 292,038 = 292,038 : x
  2. Step 2: Convert to fraction form
    137,820/292,038 = 292,038/x
  3. Step 3: Cross multiply
    137,820x = 292,038 × 292,038
  4. Step 4: Simplify right side
    137,820x = 85,286,193,444
  5. Step 5: Solve for x
    x = 85,286,193,444/137,820
  6. Step 6: Final answer
    x = 618,823.06

Related Problems

Find third proportional to 68,910 and 146,019
Half scale
Find third proportional to 275,640 and 584,076
Double scale
Find third proportional to 137,822 and 292,042
Similar ratio
Find third proportional to 206,730 and 438,057
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.