Home / 9,698-14,547

Finding the Third Proportional to 9,698 and 14,547

Calculator

Solution

The third proportional to 9,698 and 14,547 is: 21,820.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698 : 14,547 = 14,547 : x
  2. Step 2: Convert to fraction form
    9,698/14,547 = 14,547/x
  3. Step 3: Cross multiply
    9,698x = 14,547 × 14,547
  4. Step 4: Simplify right side
    9,698x = 211,615,209
  5. Step 5: Solve for x
    x = 211,615,209/9,698
  6. Step 6: Final answer
    x = 21,820.50

Related Problems

Find third proportional to 4,849 and 7,273.50
Half scale
Find third proportional to 19,396 and 29,094
Double scale
Find third proportional to 9,700 and 14,550
Similar ratio
Find third proportional to 14,547 and 21,820.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.