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Finding the Third Proportional to 638,145 and 987,987

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Solution

The third proportional to 638,145 and 987,987 is: 1,529,618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,145 : 987,987 = 987,987 : x
  2. Step 2: Convert to fraction form
    638,145/987,987 = 987,987/x
  3. Step 3: Cross multiply
    638,145x = 987,987 × 987,987
  4. Step 4: Simplify right side
    638,145x = 976,118,312,169
  5. Step 5: Solve for x
    x = 976,118,312,169/638,145
  6. Step 6: Final answer
    x = 1,529,618.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.