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Finding the Third Proportional to 637,880 and 987,924

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Solution

The third proportional to 637,880 and 987,924 is: 1,530,058.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,880 : 987,924 = 987,924 : x
  2. Step 2: Convert to fraction form
    637,880/987,924 = 987,924/x
  3. Step 3: Cross multiply
    637,880x = 987,924 × 987,924
  4. Step 4: Simplify right side
    637,880x = 975,993,829,776
  5. Step 5: Solve for x
    x = 975,993,829,776/637,880
  6. Step 6: Final answer
    x = 1,530,058.68

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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.