Home / 589,097-906,609

Finding the Third Proportional to 589,097 and 906,609

Calculator

Solution

The third proportional to 589,097 and 906,609 is: 1,395,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,097 : 906,609 = 906,609 : x
  2. Step 2: Convert to fraction form
    589,097/906,609 = 906,609/x
  3. Step 3: Cross multiply
    589,097x = 906,609 × 906,609
  4. Step 4: Simplify right side
    589,097x = 821,939,878,881
  5. Step 5: Solve for x
    x = 821,939,878,881/589,097
  6. Step 6: Final answer
    x = 1,395,253.89

Related Problems

Find third proportional to 294,548.50 and 453,304.50
Half scale
Find third proportional to 1,178,194 and 1,813,218
Double scale
Find third proportional to 589,099 and 906,612
Similar ratio
Find third proportional to 883,645.50 and 1,359,913.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.