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Finding the Third Proportional to 433,150 and 666,639

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Solution

The third proportional to 433,150 and 666,639 is: 1,025,989.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,150 : 666,639 = 666,639 : x
  2. Step 2: Convert to fraction form
    433,150/666,639 = 666,639/x
  3. Step 3: Cross multiply
    433,150x = 666,639 × 666,639
  4. Step 4: Simplify right side
    433,150x = 444,407,556,321
  5. Step 5: Solve for x
    x = 444,407,556,321/433,150
  6. Step 6: Final answer
    x = 1,025,989.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.