Home / 146,414-319,598

Finding the Third Proportional to 146,414 and 319,598

Calculator

Solution

The third proportional to 146,414 and 319,598 is: 697,630.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,414 : 319,598 = 319,598 : x
  2. Step 2: Convert to fraction form
    146,414/319,598 = 319,598/x
  3. Step 3: Cross multiply
    146,414x = 319,598 × 319,598
  4. Step 4: Simplify right side
    146,414x = 102,142,881,604
  5. Step 5: Solve for x
    x = 102,142,881,604/146,414
  6. Step 6: Final answer
    x = 697,630.57

Related Problems

Find third proportional to 73,207 and 159,799
Half scale
Find third proportional to 292,828 and 639,196
Double scale
Find third proportional to 146,416 and 319,602
Similar ratio
Find third proportional to 219,621 and 479,397
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.