Home / 319,089-472,329

Finding the Third Proportional to 319,089 and 472,329

Calculator

Solution

The third proportional to 319,089 and 472,329 is: 699,161.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,089 : 472,329 = 472,329 : x
  2. Step 2: Convert to fraction form
    319,089/472,329 = 472,329/x
  3. Step 3: Cross multiply
    319,089x = 472,329 × 472,329
  4. Step 4: Simplify right side
    319,089x = 223,094,684,241
  5. Step 5: Solve for x
    x = 223,094,684,241/319,089
  6. Step 6: Final answer
    x = 699,161.31

Related Problems

Find third proportional to 159,544.50 and 236,164.50
Half scale
Find third proportional to 638,178 and 944,658
Double scale
Find third proportional to 319,091 and 472,332
Similar ratio
Find third proportional to 478,633.50 and 708,493.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.