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Finding the Third Proportional to 326,001 and 687,402

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Solution

The third proportional to 326,001 and 687,402 is: 1,449,448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,001 : 687,402 = 687,402 : x
  2. Step 2: Convert to fraction form
    326,001/687,402 = 687,402/x
  3. Step 3: Cross multiply
    326,001x = 687,402 × 687,402
  4. Step 4: Simplify right side
    326,001x = 472,521,509,604
  5. Step 5: Solve for x
    x = 472,521,509,604/326,001
  6. Step 6: Final answer
    x = 1,449,448.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.