Home / 586.50-1,264.50

Finding the Third Proportional to 586.50 and 1,264.50

Calculator

Solution

The third proportional to 586.50 and 1,264.50 is: 2,726.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.50 : 1,264.50 = 1,264.50 : x
  2. Step 2: Convert to fraction form
    586.50/1,264.50 = 1,264.50/x
  3. Step 3: Cross multiply
    586.50x = 1,264.50 × 1,264.50
  4. Step 4: Simplify right side
    586.50x = 1,598,960.25
  5. Step 5: Solve for x
    x = 1,598,960.25/586.50
  6. Step 6: Final answer
    x = 2,726.27

Related Problems

Find third proportional to 293.25 and 632.25
Half scale
Find third proportional to 1,173 and 2,529
Double scale
Find third proportional to 589 and 1,269
Similar ratio
Find third proportional to 879.75 and 1,896.75
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.