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Finding the Third Proportional to 423,616 and 908,656

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Solution

The third proportional to 423,616 and 908,656 is: 1,949,066.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,616 : 908,656 = 908,656 : x
  2. Step 2: Convert to fraction form
    423,616/908,656 = 908,656/x
  3. Step 3: Cross multiply
    423,616x = 908,656 × 908,656
  4. Step 4: Simplify right side
    423,616x = 825,655,726,336
  5. Step 5: Solve for x
    x = 825,655,726,336/423,616
  6. Step 6: Final answer
    x = 1,949,066.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.