Home / 473.63-689.81

Finding the Third Proportional to 473.63 and 689.81

Calculator

Solution

The third proportional to 473.63 and 689.81 is: 1,004.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.63 : 689.81 = 689.81 : x
  2. Step 2: Convert to fraction form
    473.63/689.81 = 689.81/x
  3. Step 3: Cross multiply
    473.63x = 689.81 × 689.81
  4. Step 4: Simplify right side
    473.63x = 475,841.29
  5. Step 5: Solve for x
    x = 475,841.29/473.63
  6. Step 6: Final answer
    x = 1,004.68

Related Problems

Find third proportional to 236.81 and 344.91
Half scale
Find third proportional to 947.25 and 1,379.63
Double scale
Find third proportional to 476 and 693
Similar ratio
Find third proportional to 710.44 and 1,034.72
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.