Home / 319.50-473.63

Finding the Third Proportional to 319.50 and 473.63

Calculator

Solution

The third proportional to 319.50 and 473.63 is: 702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.50 : 473.63 = 473.63 : x
  2. Step 2: Convert to fraction form
    319.50/473.63 = 473.63/x
  3. Step 3: Cross multiply
    319.50x = 473.63 × 473.63
  4. Step 4: Simplify right side
    319.50x = 224,320.64
  5. Step 5: Solve for x
    x = 224,320.64/319.50
  6. Step 6: Final answer
    x = 702.10

Related Problems

Find third proportional to 159.75 and 236.81
Half scale
Find third proportional to 639 and 947.25
Double scale
Find third proportional to 322 and 477
Similar ratio
Find third proportional to 479.25 and 710.44
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.