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Finding the Third Proportional to 332,289 and 720,666

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Solution

The third proportional to 332,289 and 720,666 is: 1,562,975.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,289 : 720,666 = 720,666 : x
  2. Step 2: Convert to fraction form
    332,289/720,666 = 720,666/x
  3. Step 3: Cross multiply
    332,289x = 720,666 × 720,666
  4. Step 4: Simplify right side
    332,289x = 519,359,483,556
  5. Step 5: Solve for x
    x = 519,359,483,556/332,289
  6. Step 6: Final answer
    x = 1,562,975.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.