Home / 282.02-420.05

Finding the Third Proportional to 282.02 and 420.05

Calculator

Solution

The third proportional to 282.02 and 420.05 is: 625.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.02 : 420.05 = 420.05 : x
  2. Step 2: Convert to fraction form
    282.02/420.05 = 420.05/x
  3. Step 3: Cross multiply
    282.02x = 420.05 × 420.05
  4. Step 4: Simplify right side
    282.02x = 176,439.38
  5. Step 5: Solve for x
    x = 176,439.38/282.02
  6. Step 6: Final answer
    x = 625.62

Related Problems

Find third proportional to 141.01 and 210.02
Half scale
Find third proportional to 564.05 and 840.09
Double scale
Find third proportional to 284 and 423
Similar ratio
Find third proportional to 423.04 and 630.07
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.