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Finding the Third Proportional to 666,069 and 988,815

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Solution

The third proportional to 666,069 and 988,815 is: 1,467,948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,069 : 988,815 = 988,815 : x
  2. Step 2: Convert to fraction form
    666,069/988,815 = 988,815/x
  3. Step 3: Cross multiply
    666,069x = 988,815 × 988,815
  4. Step 4: Simplify right side
    666,069x = 977,755,104,225
  5. Step 5: Solve for x
    x = 977,755,104,225/666,069
  6. Step 6: Final answer
    x = 1,467,948.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.