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Finding the Third Proportional to 420,768 and 908,928

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Solution

The third proportional to 420,768 and 908,928 is: 1,963,433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,768 : 908,928 = 908,928 : x
  2. Step 2: Convert to fraction form
    420,768/908,928 = 908,928/x
  3. Step 3: Cross multiply
    420,768x = 908,928 × 908,928
  4. Step 4: Simplify right side
    420,768x = 826,150,109,184
  5. Step 5: Solve for x
    x = 826,150,109,184/420,768
  6. Step 6: Final answer
    x = 1,963,433.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.