Home / 517,806-699,588

Finding the Third Proportional to 517,806 and 699,588

Calculator

Solution

The third proportional to 517,806 and 699,588 is: 945,186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,806 : 699,588 = 699,588 : x
  2. Step 2: Convert to fraction form
    517,806/699,588 = 699,588/x
  3. Step 3: Cross multiply
    517,806x = 699,588 × 699,588
  4. Step 4: Simplify right side
    517,806x = 489,423,369,744
  5. Step 5: Solve for x
    x = 489,423,369,744/517,806
  6. Step 6: Final answer
    x = 945,186.75

Related Problems

Find third proportional to 258,903 and 349,794
Half scale
Find third proportional to 1,035,612 and 1,399,176
Double scale
Find third proportional to 517,808 and 699,591
Similar ratio
Find third proportional to 776,709 and 1,049,382
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.