Home / 69,381-147,402

Finding the Third Proportional to 69,381 and 147,402

Calculator

Solution

The third proportional to 69,381 and 147,402 is: 313,159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,381 : 147,402 = 147,402 : x
  2. Step 2: Convert to fraction form
    69,381/147,402 = 147,402/x
  3. Step 3: Cross multiply
    69,381x = 147,402 × 147,402
  4. Step 4: Simplify right side
    69,381x = 21,727,349,604
  5. Step 5: Solve for x
    x = 21,727,349,604/69,381
  6. Step 6: Final answer
    x = 313,159.94

Related Problems

Find third proportional to 34,690.50 and 73,701
Half scale
Find third proportional to 138,762 and 294,804
Double scale
Find third proportional to 69,383 and 147,406
Similar ratio
Find third proportional to 104,071.50 and 221,103
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.