Home / 6,978-9,973.50

Finding the Third Proportional to 6,978 and 9,973.50

Calculator

Solution

The third proportional to 6,978 and 9,973.50 is: 14,254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978 : 9,973.50 = 9,973.50 : x
  2. Step 2: Convert to fraction form
    6,978/9,973.50 = 9,973.50/x
  3. Step 3: Cross multiply
    6,978x = 9,973.50 × 9,973.50
  4. Step 4: Simplify right side
    6,978x = 99,470,702.25
  5. Step 5: Solve for x
    x = 99,470,702.25/6,978
  6. Step 6: Final answer
    x = 14,254.90

Related Problems

Find third proportional to 3,489 and 4,986.75
Half scale
Find third proportional to 13,956 and 19,947
Double scale
Find third proportional to 6,980 and 9,976
Similar ratio
Find third proportional to 10,467 and 14,960.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.