Home / 653.50-709

Finding the Third Proportional to 653.50 and 709

Calculator

Solution

The third proportional to 653.50 and 709 is: 769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.50 : 709 = 709 : x
  2. Step 2: Convert to fraction form
    653.50/709 = 709/x
  3. Step 3: Cross multiply
    653.50x = 709 × 709
  4. Step 4: Simplify right side
    653.50x = 502,681
  5. Step 5: Solve for x
    x = 502,681/653.50
  6. Step 6: Final answer
    x = 769.21

Related Problems

Find third proportional to 326.75 and 354.50
Half scale
Find third proportional to 1,307 and 1,418
Double scale
Find third proportional to 656 and 711
Similar ratio
Find third proportional to 980.25 and 1,063.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.