Home / 769-1,658

Finding the Third Proportional to 769 and 1,658

Calculator

Solution

The third proportional to 769 and 1,658 is: 3,574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    769 : 1,658 = 1,658 : x
  2. Step 2: Convert to fraction form
    769/1,658 = 1,658/x
  3. Step 3: Cross multiply
    769x = 1,658 × 1,658
  4. Step 4: Simplify right side
    769x = 2,748,964
  5. Step 5: Solve for x
    x = 2,748,964/769
  6. Step 6: Final answer
    x = 3,574.73

Related Problems

Find third proportional to 384.50 and 829
Half scale
Find third proportional to 1,538 and 3,316
Double scale
Find third proportional to 771 and 1,662
Similar ratio
Find third proportional to 1,153.50 and 2,487
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.