Home / 535,911-829,431

Finding the Third Proportional to 535,911 and 829,431

Calculator

Solution

The third proportional to 535,911 and 829,431 is: 1,283,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,911 : 829,431 = 829,431 : x
  2. Step 2: Convert to fraction form
    535,911/829,431 = 829,431/x
  3. Step 3: Cross multiply
    535,911x = 829,431 × 829,431
  4. Step 4: Simplify right side
    535,911x = 687,955,783,761
  5. Step 5: Solve for x
    x = 687,955,783,761/535,911
  6. Step 6: Final answer
    x = 1,283,712.75

Related Problems

Find third proportional to 267,955.50 and 414,715.50
Half scale
Find third proportional to 1,071,822 and 1,658,862
Double scale
Find third proportional to 535,913 and 829,434
Similar ratio
Find third proportional to 803,866.50 and 1,244,146.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.