Home / 508.78-709.07

Finding the Third Proportional to 508.78 and 709.07

Calculator

Solution

The third proportional to 508.78 and 709.07 is: 988.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.78 : 709.07 = 709.07 : x
  2. Step 2: Convert to fraction form
    508.78/709.07 = 709.07/x
  3. Step 3: Cross multiply
    508.78x = 709.07 × 709.07
  4. Step 4: Simplify right side
    508.78x = 502,775.17
  5. Step 5: Solve for x
    x = 502,775.17/508.78
  6. Step 6: Final answer
    x = 988.20

Related Problems

Find third proportional to 254.39 and 354.53
Half scale
Find third proportional to 1,017.56 and 1,418.13
Double scale
Find third proportional to 511 and 712
Similar ratio
Find third proportional to 763.17 and 1,063.60
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.