Home / 309,597-473,265

Finding the Third Proportional to 309,597 and 473,265

Calculator

Solution

The third proportional to 309,597 and 473,265 is: 723,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,597 : 473,265 = 473,265 : x
  2. Step 2: Convert to fraction form
    309,597/473,265 = 473,265/x
  3. Step 3: Cross multiply
    309,597x = 473,265 × 473,265
  4. Step 4: Simplify right side
    309,597x = 223,979,760,225
  5. Step 5: Solve for x
    x = 223,979,760,225/309,597
  6. Step 6: Final answer
    x = 723,455.85

Related Problems

Find third proportional to 154,798.50 and 236,632.50
Half scale
Find third proportional to 619,194 and 946,530
Double scale
Find third proportional to 309,599 and 473,268
Similar ratio
Find third proportional to 464,395.50 and 709,897.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.