Home / 31,782-48,528

Finding the Third Proportional to 31,782 and 48,528

Calculator

Solution

The third proportional to 31,782 and 48,528 is: 74,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782 : 48,528 = 48,528 : x
  2. Step 2: Convert to fraction form
    31,782/48,528 = 48,528/x
  3. Step 3: Cross multiply
    31,782x = 48,528 × 48,528
  4. Step 4: Simplify right side
    31,782x = 2,354,966,784
  5. Step 5: Solve for x
    x = 2,354,966,784/31,782
  6. Step 6: Final answer
    x = 74,097.50

Related Problems

Find third proportional to 15,891 and 24,264
Half scale
Find third proportional to 63,564 and 97,056
Double scale
Find third proportional to 31,784 and 48,531
Similar ratio
Find third proportional to 47,673 and 72,792
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.