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Finding the Third Proportional to 515,108 and 787,971

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Solution

The third proportional to 515,108 and 787,971 is: 1,205,374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,108 : 787,971 = 787,971 : x
  2. Step 2: Convert to fraction form
    515,108/787,971 = 787,971/x
  3. Step 3: Cross multiply
    515,108x = 787,971 × 787,971
  4. Step 4: Simplify right side
    515,108x = 620,898,296,841
  5. Step 5: Solve for x
    x = 620,898,296,841/515,108
  6. Step 6: Final answer
    x = 1,205,374.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.