Home / 313,870-686,058

Finding the Third Proportional to 313,870 and 686,058

Calculator

Solution

The third proportional to 313,870 and 686,058 is: 1,499,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,870 : 686,058 = 686,058 : x
  2. Step 2: Convert to fraction form
    313,870/686,058 = 686,058/x
  3. Step 3: Cross multiply
    313,870x = 686,058 × 686,058
  4. Step 4: Simplify right side
    313,870x = 470,675,579,364
  5. Step 5: Solve for x
    x = 470,675,579,364/313,870
  6. Step 6: Final answer
    x = 1,499,587.66

Related Problems

Find third proportional to 156,935 and 343,029
Half scale
Find third proportional to 627,740 and 1,372,116
Double scale
Find third proportional to 313,872 and 686,062
Similar ratio
Find third proportional to 470,805 and 1,029,087
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.