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Finding the Third Proportional to 418,532 and 906,603

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Solution

The third proportional to 418,532 and 906,603 is: 1,963,837.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,532 : 906,603 = 906,603 : x
  2. Step 2: Convert to fraction form
    418,532/906,603 = 906,603/x
  3. Step 3: Cross multiply
    418,532x = 906,603 × 906,603
  4. Step 4: Simplify right side
    418,532x = 821,928,999,609
  5. Step 5: Solve for x
    x = 821,928,999,609/418,532
  6. Step 6: Final answer
    x = 1,963,837.89

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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.