Home / 1,306-1,458

Finding the Third Proportional to 1,306 and 1,458

Calculator

Solution

The third proportional to 1,306 and 1,458 is: 1,627.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306 : 1,458 = 1,458 : x
  2. Step 2: Convert to fraction form
    1,306/1,458 = 1,458/x
  3. Step 3: Cross multiply
    1,306x = 1,458 × 1,458
  4. Step 4: Simplify right side
    1,306x = 2,125,764
  5. Step 5: Solve for x
    x = 2,125,764/1,306
  6. Step 6: Final answer
    x = 1,627.69

Related Problems

Find third proportional to 653 and 729
Half scale
Find third proportional to 2,612 and 2,916
Double scale
Find third proportional to 1,308 and 1,460
Similar ratio
Find third proportional to 1,959 and 2,187
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.