Home / 306,520-457,904

Finding the Third Proportional to 306,520 and 457,904

Calculator

Solution

The third proportional to 306,520 and 457,904 is: 684,053.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,520 : 457,904 = 457,904 : x
  2. Step 2: Convert to fraction form
    306,520/457,904 = 457,904/x
  3. Step 3: Cross multiply
    306,520x = 457,904 × 457,904
  4. Step 4: Simplify right side
    306,520x = 209,676,073,216
  5. Step 5: Solve for x
    x = 209,676,073,216/306,520
  6. Step 6: Final answer
    x = 684,053.48

Related Problems

Find third proportional to 153,260 and 228,952
Half scale
Find third proportional to 613,040 and 915,808
Double scale
Find third proportional to 306,522 and 457,907
Similar ratio
Find third proportional to 459,780 and 686,856
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.