Home / 421,542-616,521

Finding the Third Proportional to 421,542 and 616,521

Calculator

Solution

The third proportional to 421,542 and 616,521 is: 901,685.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,542 : 616,521 = 616,521 : x
  2. Step 2: Convert to fraction form
    421,542/616,521 = 616,521/x
  3. Step 3: Cross multiply
    421,542x = 616,521 × 616,521
  4. Step 4: Simplify right side
    421,542x = 380,098,143,441
  5. Step 5: Solve for x
    x = 380,098,143,441/421,542
  6. Step 6: Final answer
    x = 901,685.11

Related Problems

Find third proportional to 210,771 and 308,260.50
Half scale
Find third proportional to 843,084 and 1,233,042
Double scale
Find third proportional to 421,544 and 616,524
Similar ratio
Find third proportional to 632,313 and 924,781.50
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.