Home / 278,656-406,320

Finding the Third Proportional to 278,656 and 406,320

Calculator

Solution

The third proportional to 278,656 and 406,320 is: 592,472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,656 : 406,320 = 406,320 : x
  2. Step 2: Convert to fraction form
    278,656/406,320 = 406,320/x
  3. Step 3: Cross multiply
    278,656x = 406,320 × 406,320
  4. Step 4: Simplify right side
    278,656x = 165,095,942,400
  5. Step 5: Solve for x
    x = 165,095,942,400/278,656
  6. Step 6: Final answer
    x = 592,472.23

Related Problems

Find third proportional to 139,328 and 203,160
Half scale
Find third proportional to 557,312 and 812,640
Double scale
Find third proportional to 278,658 and 406,323
Similar ratio
Find third proportional to 417,984 and 609,480
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.