Home / 509,674-712,863

Finding the Third Proportional to 509,674 and 712,863

Calculator

Solution

The third proportional to 509,674 and 712,863 is: 997,056.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,674 : 712,863 = 712,863 : x
  2. Step 2: Convert to fraction form
    509,674/712,863 = 712,863/x
  3. Step 3: Cross multiply
    509,674x = 712,863 × 712,863
  4. Step 4: Simplify right side
    509,674x = 508,173,656,769
  5. Step 5: Solve for x
    x = 508,173,656,769/509,674
  6. Step 6: Final answer
    x = 997,056.27

Related Problems

Find third proportional to 254,837 and 356,431.50
Half scale
Find third proportional to 1,019,348 and 1,425,726
Double scale
Find third proportional to 509,676 and 712,866
Similar ratio
Find third proportional to 764,511 and 1,069,294.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.