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Finding the Third Proportional to 302,128 and 663,904

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Solution

The third proportional to 302,128 and 663,904 is: 1,458,880.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,128 : 663,904 = 663,904 : x
  2. Step 2: Convert to fraction form
    302,128/663,904 = 663,904/x
  3. Step 3: Cross multiply
    302,128x = 663,904 × 663,904
  4. Step 4: Simplify right side
    302,128x = 440,768,521,216
  5. Step 5: Solve for x
    x = 440,768,521,216/302,128
  6. Step 6: Final answer
    x = 1,458,880.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.