Home / 296.50-463.50

Finding the Third Proportional to 296.50 and 463.50

Calculator

Solution

The third proportional to 296.50 and 463.50 is: 724.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.50 : 463.50 = 463.50 : x
  2. Step 2: Convert to fraction form
    296.50/463.50 = 463.50/x
  3. Step 3: Cross multiply
    296.50x = 463.50 × 463.50
  4. Step 4: Simplify right side
    296.50x = 214,832.25
  5. Step 5: Solve for x
    x = 214,832.25/296.50
  6. Step 6: Final answer
    x = 724.56

Related Problems

Find third proportional to 148.25 and 231.75
Half scale
Find third proportional to 593 and 927
Double scale
Find third proportional to 299 and 467
Similar ratio
Find third proportional to 444.75 and 695.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.