Home / 458.16-710.02

Finding the Third Proportional to 458.16 and 710.02

Calculator

Solution

The third proportional to 458.16 and 710.02 is: 1,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.16 : 710.02 = 710.02 : x
  2. Step 2: Convert to fraction form
    458.16/710.02 = 710.02/x
  3. Step 3: Cross multiply
    458.16x = 710.02 × 710.02
  4. Step 4: Simplify right side
    458.16x = 504,122.19
  5. Step 5: Solve for x
    x = 504,122.19/458.16
  6. Step 6: Final answer
    x = 1,100.33

Related Problems

Find third proportional to 229.08 and 355.01
Half scale
Find third proportional to 916.31 and 1,420.03
Double scale
Find third proportional to 460 and 713
Similar ratio
Find third proportional to 687.23 and 1,065.02
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.