Home / 193,499-299,001

Finding the Third Proportional to 193,499 and 299,001

Calculator

Solution

The third proportional to 193,499 and 299,001 is: 462,026.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,499 : 299,001 = 299,001 : x
  2. Step 2: Convert to fraction form
    193,499/299,001 = 299,001/x
  3. Step 3: Cross multiply
    193,499x = 299,001 × 299,001
  4. Step 4: Simplify right side
    193,499x = 89,401,598,001
  5. Step 5: Solve for x
    x = 89,401,598,001/193,499
  6. Step 6: Final answer
    x = 462,026.15

Related Problems

Find third proportional to 96,749.50 and 149,500.50
Half scale
Find third proportional to 386,998 and 598,002
Double scale
Find third proportional to 193,501 and 299,004
Similar ratio
Find third proportional to 290,248.50 and 448,501.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.