Home / 616-1,023

Finding the Third Proportional to 616 and 1,023

Calculator

Solution

The third proportional to 616 and 1,023 is: 1,698.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    616 : 1,023 = 1,023 : x
  2. Step 2: Convert to fraction form
    616/1,023 = 1,023/x
  3. Step 3: Cross multiply
    616x = 1,023 × 1,023
  4. Step 4: Simplify right side
    616x = 1,046,529
  5. Step 5: Solve for x
    x = 1,046,529/616
  6. Step 6: Final answer
    x = 1,698.91

Related Problems

Find third proportional to 308 and 511.50
Half scale
Find third proportional to 1,232 and 2,046
Double scale
Find third proportional to 618 and 1,026
Similar ratio
Find third proportional to 924 and 1,534.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.