Home / 304-470.50

Finding the Third Proportional to 304 and 470.50

Calculator

Solution

The third proportional to 304 and 470.50 is: 728.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304 : 470.50 = 470.50 : x
  2. Step 2: Convert to fraction form
    304/470.50 = 470.50/x
  3. Step 3: Cross multiply
    304x = 470.50 × 470.50
  4. Step 4: Simplify right side
    304x = 221,370.25
  5. Step 5: Solve for x
    x = 221,370.25/304
  6. Step 6: Final answer
    x = 728.19

Related Problems

Find third proportional to 152 and 235.25
Half scale
Find third proportional to 608 and 941
Double scale
Find third proportional to 306 and 474
Similar ratio
Find third proportional to 456 and 705.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.