Home / 155,967-319,311

Finding the Third Proportional to 155,967 and 319,311

Calculator

Solution

The third proportional to 155,967 and 319,311 is: 653,724.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,967 : 319,311 = 319,311 : x
  2. Step 2: Convert to fraction form
    155,967/319,311 = 319,311/x
  3. Step 3: Cross multiply
    155,967x = 319,311 × 319,311
  4. Step 4: Simplify right side
    155,967x = 101,959,514,721
  5. Step 5: Solve for x
    x = 101,959,514,721/155,967
  6. Step 6: Final answer
    x = 653,724.92

Related Problems

Find third proportional to 77,983.50 and 159,655.50
Half scale
Find third proportional to 311,934 and 638,622
Double scale
Find third proportional to 155,969 and 319,315
Similar ratio
Find third proportional to 233,950.50 and 478,966.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.