Home / 208,506-457,608

Finding the Third Proportional to 208,506 and 457,608

Calculator

Solution

The third proportional to 208,506 and 457,608 is: 1,004,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,506 : 457,608 = 457,608 : x
  2. Step 2: Convert to fraction form
    208,506/457,608 = 457,608/x
  3. Step 3: Cross multiply
    208,506x = 457,608 × 457,608
  4. Step 4: Simplify right side
    208,506x = 209,405,081,664
  5. Step 5: Solve for x
    x = 209,405,081,664/208,506
  6. Step 6: Final answer
    x = 1,004,312.02

Related Problems

Find third proportional to 104,253 and 228,804
Half scale
Find third proportional to 417,012 and 915,216
Double scale
Find third proportional to 208,508 and 457,612
Similar ratio
Find third proportional to 312,759 and 686,412
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.