Home / 319,146-472,557

Finding the Third Proportional to 319,146 and 472,557

Calculator

Solution

The third proportional to 319,146 and 472,557 is: 699,711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,146 : 472,557 = 472,557 : x
  2. Step 2: Convert to fraction form
    319,146/472,557 = 472,557/x
  3. Step 3: Cross multiply
    319,146x = 472,557 × 472,557
  4. Step 4: Simplify right side
    319,146x = 223,310,118,249
  5. Step 5: Solve for x
    x = 223,310,118,249/319,146
  6. Step 6: Final answer
    x = 699,711.47

Related Problems

Find third proportional to 159,573 and 236,278.50
Half scale
Find third proportional to 638,292 and 945,114
Double scale
Find third proportional to 319,148 and 472,560
Similar ratio
Find third proportional to 478,719 and 708,835.50
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.