Home / 420.50-497

Finding the Third Proportional to 420.50 and 497

Calculator

Solution

The third proportional to 420.50 and 497 is: 587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.50 : 497 = 497 : x
  2. Step 2: Convert to fraction form
    420.50/497 = 497/x
  3. Step 3: Cross multiply
    420.50x = 497 × 497
  4. Step 4: Simplify right side
    420.50x = 247,009
  5. Step 5: Solve for x
    x = 247,009/420.50
  6. Step 6: Final answer
    x = 587.42

Related Problems

Find third proportional to 210.25 and 248.50
Half scale
Find third proportional to 841 and 994
Double scale
Find third proportional to 423 and 499
Similar ratio
Find third proportional to 630.75 and 745.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.