Home / 340.13-459

Finding the Third Proportional to 340.13 and 459

Calculator

Solution

The third proportional to 340.13 and 459 is: 619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.13 : 459 = 459 : x
  2. Step 2: Convert to fraction form
    340.13/459 = 459/x
  3. Step 3: Cross multiply
    340.13x = 459 × 459
  4. Step 4: Simplify right side
    340.13x = 210,681
  5. Step 5: Solve for x
    x = 210,681/340.13
  6. Step 6: Final answer
    x = 619.42

Related Problems

Find third proportional to 170.06 and 229.50
Half scale
Find third proportional to 680.25 and 918
Double scale
Find third proportional to 342 and 462
Similar ratio
Find third proportional to 510.19 and 688.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.