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Finding the Third Proportional to 635,137 and 987,698

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Solution

The third proportional to 635,137 and 987,698 is: 1,535,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,137 : 987,698 = 987,698 : x
  2. Step 2: Convert to fraction form
    635,137/987,698 = 987,698/x
  3. Step 3: Cross multiply
    635,137x = 987,698 × 987,698
  4. Step 4: Simplify right side
    635,137x = 975,547,339,204
  5. Step 5: Solve for x
    x = 975,547,339,204/635,137
  6. Step 6: Final answer
    x = 1,535,963.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.