Home / 291,205-456,898

Finding the Third Proportional to 291,205 and 456,898

Calculator

Solution

The third proportional to 291,205 and 456,898 is: 716,868.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,205 : 456,898 = 456,898 : x
  2. Step 2: Convert to fraction form
    291,205/456,898 = 456,898/x
  3. Step 3: Cross multiply
    291,205x = 456,898 × 456,898
  4. Step 4: Simplify right side
    291,205x = 208,755,782,404
  5. Step 5: Solve for x
    x = 208,755,782,404/291,205
  6. Step 6: Final answer
    x = 716,868.81

Related Problems

Find third proportional to 145,602.50 and 228,449
Half scale
Find third proportional to 582,410 and 913,796
Double scale
Find third proportional to 291,207 and 456,901
Similar ratio
Find third proportional to 436,807.50 and 685,347
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.