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Finding the Third Proportional to 418,548 and 906,636

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Solution

The third proportional to 418,548 and 906,636 is: 1,963,905.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,548 : 906,636 = 906,636 : x
  2. Step 2: Convert to fraction form
    418,548/906,636 = 906,636/x
  3. Step 3: Cross multiply
    418,548x = 906,636 × 906,636
  4. Step 4: Simplify right side
    418,548x = 821,988,836,496
  5. Step 5: Solve for x
    x = 821,988,836,496/418,548
  6. Step 6: Final answer
    x = 1,963,905.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.