Home / 840.38-1,306.13

Finding the Third Proportional to 840.38 and 1,306.13

Calculator

Solution

The third proportional to 840.38 and 1,306.13 is: 2,030.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.38 : 1,306.13 = 1,306.13 : x
  2. Step 2: Convert to fraction form
    840.38/1,306.13 = 1,306.13/x
  3. Step 3: Cross multiply
    840.38x = 1,306.13 × 1,306.13
  4. Step 4: Simplify right side
    840.38x = 1,705,962.52
  5. Step 5: Solve for x
    x = 1,705,962.52/840.38
  6. Step 6: Final answer
    x = 2,030.00

Related Problems

Find third proportional to 420.19 and 653.06
Half scale
Find third proportional to 1,680.75 and 2,612.25
Double scale
Find third proportional to 842 and 1,309
Similar ratio
Find third proportional to 1,260.56 and 1,959.19
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.