Home / 209,046-315,513

Finding the Third Proportional to 209,046 and 315,513

Calculator

Solution

The third proportional to 209,046 and 315,513 is: 476,203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,046 : 315,513 = 315,513 : x
  2. Step 2: Convert to fraction form
    209,046/315,513 = 315,513/x
  3. Step 3: Cross multiply
    209,046x = 315,513 × 315,513
  4. Step 4: Simplify right side
    209,046x = 99,548,453,169
  5. Step 5: Solve for x
    x = 99,548,453,169/209,046
  6. Step 6: Final answer
    x = 476,203.58

Related Problems

Find third proportional to 104,523 and 157,756.50
Half scale
Find third proportional to 418,092 and 631,026
Double scale
Find third proportional to 209,048 and 315,516
Similar ratio
Find third proportional to 313,569 and 473,269.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.