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Finding the Third Proportional to 638,132 and 987,970

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Solution

The third proportional to 638,132 and 987,970 is: 1,529,596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,132 : 987,970 = 987,970 : x
  2. Step 2: Convert to fraction form
    638,132/987,970 = 987,970/x
  3. Step 3: Cross multiply
    638,132x = 987,970 × 987,970
  4. Step 4: Simplify right side
    638,132x = 976,084,720,900
  5. Step 5: Solve for x
    x = 976,084,720,900/638,132
  6. Step 6: Final answer
    x = 1,529,596.89

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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.