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Finding the Third Proportional to 302,904 and 664,560

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Solution

The third proportional to 302,904 and 664,560 is: 1,458,019.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,904 : 664,560 = 664,560 : x
  2. Step 2: Convert to fraction form
    302,904/664,560 = 664,560/x
  3. Step 3: Cross multiply
    302,904x = 664,560 × 664,560
  4. Step 4: Simplify right side
    302,904x = 441,639,993,600
  5. Step 5: Solve for x
    x = 441,639,993,600/302,904
  6. Step 6: Final answer
    x = 1,458,019.68

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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.