Home / 7,460-8,594

Finding the Third Proportional to 7,460 and 8,594

Calculator

Solution

The third proportional to 7,460 and 8,594 is: 9,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460 : 8,594 = 8,594 : x
  2. Step 2: Convert to fraction form
    7,460/8,594 = 8,594/x
  3. Step 3: Cross multiply
    7,460x = 8,594 × 8,594
  4. Step 4: Simplify right side
    7,460x = 73,856,836
  5. Step 5: Solve for x
    x = 73,856,836/7,460
  6. Step 6: Final answer
    x = 9,900.38

Related Problems

Find third proportional to 3,730 and 4,297
Half scale
Find third proportional to 14,920 and 17,188
Double scale
Find third proportional to 7,462 and 8,596
Similar ratio
Find third proportional to 11,190 and 12,891
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.