Home / 583.50-624

Finding the Third Proportional to 583.50 and 624

Calculator

Solution

The third proportional to 583.50 and 624 is: 667.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.50 : 624 = 624 : x
  2. Step 2: Convert to fraction form
    583.50/624 = 624/x
  3. Step 3: Cross multiply
    583.50x = 624 × 624
  4. Step 4: Simplify right side
    583.50x = 389,376
  5. Step 5: Solve for x
    x = 389,376/583.50
  6. Step 6: Final answer
    x = 667.31

Related Problems

Find third proportional to 291.75 and 312
Half scale
Find third proportional to 1,167 and 1,248
Double scale
Find third proportional to 586 and 626
Similar ratio
Find third proportional to 875.25 and 936
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.