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Finding the Third Proportional to 302,911 and 664,573

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Solution

The third proportional to 302,911 and 664,573 is: 1,458,043.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,911 : 664,573 = 664,573 : x
  2. Step 2: Convert to fraction form
    302,911/664,573 = 664,573/x
  3. Step 3: Cross multiply
    302,911x = 664,573 × 664,573
  4. Step 4: Simplify right side
    302,911x = 441,657,272,329
  5. Step 5: Solve for x
    x = 441,657,272,329/302,911
  6. Step 6: Final answer
    x = 1,458,043.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.