Home / 8,697-9,957

Finding the Third Proportional to 8,697 and 9,957

Calculator

Solution

The third proportional to 8,697 and 9,957 is: 11,399.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697 : 9,957 = 9,957 : x
  2. Step 2: Convert to fraction form
    8,697/9,957 = 9,957/x
  3. Step 3: Cross multiply
    8,697x = 9,957 × 9,957
  4. Step 4: Simplify right side
    8,697x = 99,141,849
  5. Step 5: Solve for x
    x = 99,141,849/8,697
  6. Step 6: Final answer
    x = 11,399.55

Related Problems

Find third proportional to 4,348.50 and 4,978.50
Half scale
Find third proportional to 17,394 and 19,914
Double scale
Find third proportional to 8,699 and 9,959
Similar ratio
Find third proportional to 13,045.50 and 14,935.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.