Home / 147,588-319,638

Finding the Third Proportional to 147,588 and 319,638

Calculator

Solution

The third proportional to 147,588 and 319,638 is: 692,254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,588 : 319,638 = 319,638 : x
  2. Step 2: Convert to fraction form
    147,588/319,638 = 319,638/x
  3. Step 3: Cross multiply
    147,588x = 319,638 × 319,638
  4. Step 4: Simplify right side
    147,588x = 102,168,451,044
  5. Step 5: Solve for x
    x = 102,168,451,044/147,588
  6. Step 6: Final answer
    x = 692,254.46

Related Problems

Find third proportional to 73,794 and 159,819
Half scale
Find third proportional to 295,176 and 639,276
Double scale
Find third proportional to 147,590 and 319,642
Similar ratio
Find third proportional to 221,382 and 479,457
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.