Home / 316,789-689,346

Finding the Third Proportional to 316,789 and 689,346

Calculator

Solution

The third proportional to 316,789 and 689,346 is: 1,500,045.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,789 : 689,346 = 689,346 : x
  2. Step 2: Convert to fraction form
    316,789/689,346 = 689,346/x
  3. Step 3: Cross multiply
    316,789x = 689,346 × 689,346
  4. Step 4: Simplify right side
    316,789x = 475,197,907,716
  5. Step 5: Solve for x
    x = 475,197,907,716/316,789
  6. Step 6: Final answer
    x = 1,500,045.48

Related Problems

Find third proportional to 158,394.50 and 344,673
Half scale
Find third proportional to 633,578 and 1,378,692
Double scale
Find third proportional to 316,791 and 689,350
Similar ratio
Find third proportional to 475,183.50 and 1,034,019
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.