Home / 147,707-322,148

Finding the Third Proportional to 147,707 and 322,148

Calculator

Solution

The third proportional to 147,707 and 322,148 is: 702,602.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,707 : 322,148 = 322,148 : x
  2. Step 2: Convert to fraction form
    147,707/322,148 = 322,148/x
  3. Step 3: Cross multiply
    147,707x = 322,148 × 322,148
  4. Step 4: Simplify right side
    147,707x = 103,779,333,904
  5. Step 5: Solve for x
    x = 103,779,333,904/147,707
  6. Step 6: Final answer
    x = 702,602.68

Related Problems

Find third proportional to 73,853.50 and 161,074
Half scale
Find third proportional to 295,414 and 644,296
Double scale
Find third proportional to 147,709 and 322,152
Similar ratio
Find third proportional to 221,560.50 and 483,222
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.