Home / 589.50-769.50

Finding the Third Proportional to 589.50 and 769.50

Calculator

Solution

The third proportional to 589.50 and 769.50 is: 1,004.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.50 : 769.50 = 769.50 : x
  2. Step 2: Convert to fraction form
    589.50/769.50 = 769.50/x
  3. Step 3: Cross multiply
    589.50x = 769.50 × 769.50
  4. Step 4: Simplify right side
    589.50x = 592,130.25
  5. Step 5: Solve for x
    x = 592,130.25/589.50
  6. Step 6: Final answer
    x = 1,004.46

Related Problems

Find third proportional to 294.75 and 384.75
Half scale
Find third proportional to 1,179 and 1,539
Double scale
Find third proportional to 592 and 772
Similar ratio
Find third proportional to 884.25 and 1,154.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.