Home / 411,424-545,913

Finding the Third Proportional to 411,424 and 545,913

Calculator

Solution

The third proportional to 411,424 and 545,913 is: 724,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,424 : 545,913 = 545,913 : x
  2. Step 2: Convert to fraction form
    411,424/545,913 = 545,913/x
  3. Step 3: Cross multiply
    411,424x = 545,913 × 545,913
  4. Step 4: Simplify right side
    411,424x = 298,021,003,569
  5. Step 5: Solve for x
    x = 298,021,003,569/411,424
  6. Step 6: Final answer
    x = 724,364.65

Related Problems

Find third proportional to 205,712 and 272,956.50
Half scale
Find third proportional to 822,848 and 1,091,826
Double scale
Find third proportional to 411,426 and 545,916
Similar ratio
Find third proportional to 617,136 and 818,869.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.