Home / 305,053-463,799

Finding the Third Proportional to 305,053 and 463,799

Calculator

Solution

The third proportional to 305,053 and 463,799 is: 705,154.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,053 : 463,799 = 463,799 : x
  2. Step 2: Convert to fraction form
    305,053/463,799 = 463,799/x
  3. Step 3: Cross multiply
    305,053x = 463,799 × 463,799
  4. Step 4: Simplify right side
    305,053x = 215,109,512,401
  5. Step 5: Solve for x
    x = 215,109,512,401/305,053
  6. Step 6: Final answer
    x = 705,154.55

Related Problems

Find third proportional to 152,526.50 and 231,899.50
Half scale
Find third proportional to 610,106 and 927,598
Double scale
Find third proportional to 305,055 and 463,802
Similar ratio
Find third proportional to 457,579.50 and 695,698.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.