Home / 338,546-514,470

Finding the Third Proportional to 338,546 and 514,470

Calculator

Solution

The third proportional to 338,546 and 514,470 is: 781,812.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,546 : 514,470 = 514,470 : x
  2. Step 2: Convert to fraction form
    338,546/514,470 = 514,470/x
  3. Step 3: Cross multiply
    338,546x = 514,470 × 514,470
  4. Step 4: Simplify right side
    338,546x = 264,679,380,900
  5. Step 5: Solve for x
    x = 264,679,380,900/338,546
  6. Step 6: Final answer
    x = 781,812.16

Related Problems

Find third proportional to 169,273 and 257,235
Half scale
Find third proportional to 677,092 and 1,028,940
Double scale
Find third proportional to 338,548 and 514,473
Similar ratio
Find third proportional to 507,819 and 771,705
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.