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Finding the Third Proportional to 635,139 and 987,701

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Solution

The third proportional to 635,139 and 987,701 is: 1,535,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,139 : 987,701 = 987,701 : x
  2. Step 2: Convert to fraction form
    635,139/987,701 = 987,701/x
  3. Step 3: Cross multiply
    635,139x = 987,701 × 987,701
  4. Step 4: Simplify right side
    635,139x = 975,553,265,401
  5. Step 5: Solve for x
    x = 975,553,265,401/635,139
  6. Step 6: Final answer
    x = 1,535,968.14

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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.