Home / 306,400-457,764

Finding the Third Proportional to 306,400 and 457,764

Calculator

Solution

The third proportional to 306,400 and 457,764 is: 683,903.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,400 : 457,764 = 457,764 : x
  2. Step 2: Convert to fraction form
    306,400/457,764 = 457,764/x
  3. Step 3: Cross multiply
    306,400x = 457,764 × 457,764
  4. Step 4: Simplify right side
    306,400x = 209,547,879,696
  5. Step 5: Solve for x
    x = 209,547,879,696/306,400
  6. Step 6: Final answer
    x = 683,903.00

Related Problems

Find third proportional to 153,200 and 228,882
Half scale
Find third proportional to 612,800 and 915,528
Double scale
Find third proportional to 306,402 and 457,767
Similar ratio
Find third proportional to 459,600 and 686,646
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.