Home / 306,398-457,743

Finding the Third Proportional to 306,398 and 457,743

Calculator

Solution

The third proportional to 306,398 and 457,743 is: 683,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,398 : 457,743 = 457,743 : x
  2. Step 2: Convert to fraction form
    306,398/457,743 = 457,743/x
  3. Step 3: Cross multiply
    306,398x = 457,743 × 457,743
  4. Step 4: Simplify right side
    306,398x = 209,528,654,049
  5. Step 5: Solve for x
    x = 209,528,654,049/306,398
  6. Step 6: Final answer
    x = 683,844.72

Related Problems

Find third proportional to 153,199 and 228,871.50
Half scale
Find third proportional to 612,796 and 915,486
Double scale
Find third proportional to 306,400 and 457,746
Similar ratio
Find third proportional to 459,597 and 686,614.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.