Home / 278,006-460,143

Finding the Third Proportional to 278,006 and 460,143

Calculator

Solution

The third proportional to 278,006 and 460,143 is: 761,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,006 : 460,143 = 460,143 : x
  2. Step 2: Convert to fraction form
    278,006/460,143 = 460,143/x
  3. Step 3: Cross multiply
    278,006x = 460,143 × 460,143
  4. Step 4: Simplify right side
    278,006x = 211,731,580,449
  5. Step 5: Solve for x
    x = 211,731,580,449/278,006
  6. Step 6: Final answer
    x = 761,607.95

Related Problems

Find third proportional to 139,003 and 230,071.50
Half scale
Find third proportional to 556,012 and 920,286
Double scale
Find third proportional to 278,008 and 460,146
Similar ratio
Find third proportional to 417,009 and 690,214.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.