Home / 302,967-470,421

Finding the Third Proportional to 302,967 and 470,421

Calculator

Solution

The third proportional to 302,967 and 470,421 is: 730,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,967 : 470,421 = 470,421 : x
  2. Step 2: Convert to fraction form
    302,967/470,421 = 470,421/x
  3. Step 3: Cross multiply
    302,967x = 470,421 × 470,421
  4. Step 4: Simplify right side
    302,967x = 221,295,917,241
  5. Step 5: Solve for x
    x = 221,295,917,241/302,967
  6. Step 6: Final answer
    x = 730,429.11

Related Problems

Find third proportional to 151,483.50 and 235,210.50
Half scale
Find third proportional to 605,934 and 940,842
Double scale
Find third proportional to 302,969 and 470,424
Similar ratio
Find third proportional to 454,450.50 and 705,631.50
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.