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Finding the Third Proportional to 336,636 and 730,497

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Solution

The third proportional to 336,636 and 730,497 is: 1,585,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,636 : 730,497 = 730,497 : x
  2. Step 2: Convert to fraction form
    336,636/730,497 = 730,497/x
  3. Step 3: Cross multiply
    336,636x = 730,497 × 730,497
  4. Step 4: Simplify right side
    336,636x = 533,625,867,009
  5. Step 5: Solve for x
    x = 533,625,867,009/336,636
  6. Step 6: Final answer
    x = 1,585,171.72

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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.