Home / 1,748-2,042

Finding the Third Proportional to 1,748 and 2,042

Calculator

Solution

The third proportional to 1,748 and 2,042 is: 2,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748 : 2,042 = 2,042 : x
  2. Step 2: Convert to fraction form
    1,748/2,042 = 2,042/x
  3. Step 3: Cross multiply
    1,748x = 2,042 × 2,042
  4. Step 4: Simplify right side
    1,748x = 4,169,764
  5. Step 5: Solve for x
    x = 4,169,764/1,748
  6. Step 6: Final answer
    x = 2,385.45

Related Problems

Find third proportional to 874 and 1,021
Half scale
Find third proportional to 3,496 and 4,084
Double scale
Find third proportional to 1,750 and 2,044
Similar ratio
Find third proportional to 2,622 and 3,063
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.