Home / 461,106-705,651

Finding the Third Proportional to 461,106 and 705,651

Calculator

Solution

The third proportional to 461,106 and 705,651 is: 1,079,889.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,106 : 705,651 = 705,651 : x
  2. Step 2: Convert to fraction form
    461,106/705,651 = 705,651/x
  3. Step 3: Cross multiply
    461,106x = 705,651 × 705,651
  4. Step 4: Simplify right side
    461,106x = 497,943,333,801
  5. Step 5: Solve for x
    x = 497,943,333,801/461,106
  6. Step 6: Final answer
    x = 1,079,889.08

Related Problems

Find third proportional to 230,553 and 352,825.50
Half scale
Find third proportional to 922,212 and 1,411,302
Double scale
Find third proportional to 461,108 and 705,654
Similar ratio
Find third proportional to 691,659 and 1,058,476.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.