Home / 407,172-535,428

Finding the Third Proportional to 407,172 and 535,428

Calculator

Solution

The third proportional to 407,172 and 535,428 is: 704,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,172 : 535,428 = 535,428 : x
  2. Step 2: Convert to fraction form
    407,172/535,428 = 535,428/x
  3. Step 3: Cross multiply
    407,172x = 535,428 × 535,428
  4. Step 4: Simplify right side
    407,172x = 286,683,143,184
  5. Step 5: Solve for x
    x = 286,683,143,184/407,172
  6. Step 6: Final answer
    x = 704,083.64

Related Problems

Find third proportional to 203,586 and 267,714
Half scale
Find third proportional to 814,344 and 1,070,856
Double scale
Find third proportional to 407,174 and 535,431
Similar ratio
Find third proportional to 610,758 and 803,142
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.