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Finding the Third Proportional to 677,677 and 993,881

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Solution

The third proportional to 677,677 and 993,881 is: 1,457,625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,677 : 993,881 = 993,881 : x
  2. Step 2: Convert to fraction form
    677,677/993,881 = 993,881/x
  3. Step 3: Cross multiply
    677,677x = 993,881 × 993,881
  4. Step 4: Simplify right side
    677,677x = 987,799,442,161
  5. Step 5: Solve for x
    x = 987,799,442,161/677,677
  6. Step 6: Final answer
    x = 1,457,625.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.