Home / 280,640-429,312

Finding the Third Proportional to 280,640 and 429,312

Calculator

Solution

The third proportional to 280,640 and 429,312 is: 656,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,640 : 429,312 = 429,312 : x
  2. Step 2: Convert to fraction form
    280,640/429,312 = 429,312/x
  3. Step 3: Cross multiply
    280,640x = 429,312 × 429,312
  4. Step 4: Simplify right side
    280,640x = 184,308,793,344
  5. Step 5: Solve for x
    x = 184,308,793,344/280,640
  6. Step 6: Final answer
    x = 656,744.56

Related Problems

Find third proportional to 140,320 and 214,656
Half scale
Find third proportional to 561,280 and 858,624
Double scale
Find third proportional to 280,642 and 429,315
Similar ratio
Find third proportional to 420,960 and 643,968
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.