Home / 306,319-457,633

Finding the Third Proportional to 306,319 and 457,633

Calculator

Solution

The third proportional to 306,319 and 457,633 is: 683,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,319 : 457,633 = 457,633 : x
  2. Step 2: Convert to fraction form
    306,319/457,633 = 457,633/x
  3. Step 3: Cross multiply
    306,319x = 457,633 × 457,633
  4. Step 4: Simplify right side
    306,319x = 209,427,962,689
  5. Step 5: Solve for x
    x = 209,427,962,689/306,319
  6. Step 6: Final answer
    x = 683,692.37

Related Problems

Find third proportional to 153,159.50 and 228,816.50
Half scale
Find third proportional to 612,638 and 915,266
Double scale
Find third proportional to 306,321 and 457,636
Similar ratio
Find third proportional to 459,478.50 and 686,449.50
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.