Home / 307,548-413,820

Finding the Third Proportional to 307,548 and 413,820

Calculator

Solution

The third proportional to 307,548 and 413,820 is: 556,813.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,548 : 413,820 = 413,820 : x
  2. Step 2: Convert to fraction form
    307,548/413,820 = 413,820/x
  3. Step 3: Cross multiply
    307,548x = 413,820 × 413,820
  4. Step 4: Simplify right side
    307,548x = 171,246,992,400
  5. Step 5: Solve for x
    x = 171,246,992,400/307,548
  6. Step 6: Final answer
    x = 556,813.87

Related Problems

Find third proportional to 153,774 and 206,910
Half scale
Find third proportional to 615,096 and 827,640
Double scale
Find third proportional to 307,550 and 413,823
Similar ratio
Find third proportional to 461,322 and 620,730
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.