Home / 218,304-458,624

Finding the Third Proportional to 218,304 and 458,624

Calculator

Solution

The third proportional to 218,304 and 458,624 is: 963,500.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,304 : 458,624 = 458,624 : x
  2. Step 2: Convert to fraction form
    218,304/458,624 = 458,624/x
  3. Step 3: Cross multiply
    218,304x = 458,624 × 458,624
  4. Step 4: Simplify right side
    218,304x = 210,335,973,376
  5. Step 5: Solve for x
    x = 210,335,973,376/218,304
  6. Step 6: Final answer
    x = 963,500.32

Related Problems

Find third proportional to 109,152 and 229,312
Half scale
Find third proportional to 436,608 and 917,248
Double scale
Find third proportional to 218,306 and 458,628
Similar ratio
Find third proportional to 327,456 and 687,936
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.