Home / 208,020-313,498

Finding the Third Proportional to 208,020 and 313,498

Calculator

Solution

The third proportional to 208,020 and 313,498 is: 472,459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,020 : 313,498 = 313,498 : x
  2. Step 2: Convert to fraction form
    208,020/313,498 = 313,498/x
  3. Step 3: Cross multiply
    208,020x = 313,498 × 313,498
  4. Step 4: Simplify right side
    208,020x = 98,280,996,004
  5. Step 5: Solve for x
    x = 98,280,996,004/208,020
  6. Step 6: Final answer
    x = 472,459.36

Related Problems

Find third proportional to 104,010 and 156,749
Half scale
Find third proportional to 416,040 and 626,996
Double scale
Find third proportional to 208,022 and 313,501
Similar ratio
Find third proportional to 312,030 and 470,247
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.