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Finding the Third Proportional to 638,146 and 987,991

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Solution

The third proportional to 638,146 and 987,991 is: 1,529,628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,146 : 987,991 = 987,991 : x
  2. Step 2: Convert to fraction form
    638,146/987,991 = 987,991/x
  3. Step 3: Cross multiply
    638,146x = 987,991 × 987,991
  4. Step 4: Simplify right side
    638,146x = 976,126,216,081
  5. Step 5: Solve for x
    x = 976,126,216,081/638,146
  6. Step 6: Final answer
    x = 1,529,628.35

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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.