Home / 306,499-478,378

Finding the Third Proportional to 306,499 and 478,378

Calculator

Solution

The third proportional to 306,499 and 478,378 is: 746,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,499 : 478,378 = 478,378 : x
  2. Step 2: Convert to fraction form
    306,499/478,378 = 478,378/x
  3. Step 3: Cross multiply
    306,499x = 478,378 × 478,378
  4. Step 4: Simplify right side
    306,499x = 228,845,510,884
  5. Step 5: Solve for x
    x = 228,845,510,884/306,499
  6. Step 6: Final answer
    x = 746,643.58

Related Problems

Find third proportional to 153,249.50 and 239,189
Half scale
Find third proportional to 612,998 and 956,756
Double scale
Find third proportional to 306,501 and 478,381
Similar ratio
Find third proportional to 459,748.50 and 717,567
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.