Home / 5,140-7,637.50

Finding the Third Proportional to 5,140 and 7,637.50

Calculator

Solution

The third proportional to 5,140 and 7,637.50 is: 11,348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140 : 7,637.50 = 7,637.50 : x
  2. Step 2: Convert to fraction form
    5,140/7,637.50 = 7,637.50/x
  3. Step 3: Cross multiply
    5,140x = 7,637.50 × 7,637.50
  4. Step 4: Simplify right side
    5,140x = 58,331,406.25
  5. Step 5: Solve for x
    x = 58,331,406.25/5,140
  6. Step 6: Final answer
    x = 11,348.52

Related Problems

Find third proportional to 2,570 and 3,818.75
Half scale
Find third proportional to 10,280 and 15,275
Double scale
Find third proportional to 5,142 and 7,640
Similar ratio
Find third proportional to 7,710 and 11,456.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.