Home / 309,911-478,536

Finding the Third Proportional to 309,911 and 478,536

Calculator

Solution

The third proportional to 309,911 and 478,536 is: 738,911.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,911 : 478,536 = 478,536 : x
  2. Step 2: Convert to fraction form
    309,911/478,536 = 478,536/x
  3. Step 3: Cross multiply
    309,911x = 478,536 × 478,536
  4. Step 4: Simplify right side
    309,911x = 228,996,703,296
  5. Step 5: Solve for x
    x = 228,996,703,296/309,911
  6. Step 6: Final answer
    x = 738,911.18

Related Problems

Find third proportional to 154,955.50 and 239,268
Half scale
Find third proportional to 619,822 and 957,072
Double scale
Find third proportional to 309,913 and 478,539
Similar ratio
Find third proportional to 464,866.50 and 717,804
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.