Home / 314,563-684,421

Finding the Third Proportional to 314,563 and 684,421

Calculator

Solution

The third proportional to 314,563 and 684,421 is: 1,489,151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,563 : 684,421 = 684,421 : x
  2. Step 2: Convert to fraction form
    314,563/684,421 = 684,421/x
  3. Step 3: Cross multiply
    314,563x = 684,421 × 684,421
  4. Step 4: Simplify right side
    314,563x = 468,432,105,241
  5. Step 5: Solve for x
    x = 468,432,105,241/314,563
  6. Step 6: Final answer
    x = 1,489,151.95

Related Problems

Find third proportional to 157,281.50 and 342,210.50
Half scale
Find third proportional to 629,126 and 1,368,842
Double scale
Find third proportional to 314,565 and 684,425
Similar ratio
Find third proportional to 471,844.50 and 1,026,631.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.